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3942402912 = 253272967433
BaseRepresentation
bin1110101011111100…
…0100101101100000
3101011202022211002200
43222333010231200
531033223343122
61451111213200
7166460605020
oct35277045540
911152284080
103942402912
111743424728
12920377200
134aaa063b6
1429583da80
151811995ac
hexeafc4b60

3942402912 has 144 divisors (see below), whose sum is σ = 13254827040. Its totient is φ = 1087543296.

The previous prime is 3942402907. The next prime is 3942402917. The reversal of 3942402912 is 2192042493.

3942402912 is a `hidden beast` number, since 394 + 240 + 29 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3942402907) and next prime (3942402917).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3942402917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24748 + ... + 92180.

It is an arithmetic number, because the mean of its divisors is an integer number (92047410).

Almost surely, 23942402912 is an apocalyptic number.

3942402912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3942402912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6627413520).

3942402912 is an abundant number, since it is smaller than the sum of its proper divisors (9312424128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3942402912 is a wasteful number, since it uses less digits than its factorization.

3942402912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67485 (or 67474 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3942402912 is about 62788.5571740584. The cubic root of 3942402912 is about 1579.7450467221.

The spelling of 3942402912 in words is "three billion, nine hundred forty-two million, four hundred two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 56 58 63 72 84 87 96 112 116 126 144 168 174 203 224 232 252 261 288 336 348 406 464 504 522 609 672 696 812 928 1008 1044 1218 1392 1624 1827 2016 2088 2436 2784 3248 3654 4176 4872 6496 7308 8352 9744 14616 19488 29232 58464 67433 134866 202299 269732 404598 472031 539464 606897 809196 944062 1078928 1213794 1416093 1618392 1888124 1955557 2157856 2427588 2832186 3236784 3776248 3911114 4248279 4855176 5664372 5866671 6473568 7552496 7822228 8496558 9710352 11328744 11733342 13688899 15104992 15644456 16993116 17600013 19420704 22657488 23466684 27377798 31288912 33986232 35200026 41066697 45314976 46933368 54755596 62577824 67972464 70400052 82133394 93866736 109511192 123200091 135944928 140800104 164266788 187733472 219022384 246400182 281600208 328533576 438044768 492800364 563200416 657067152 985600728 1314134304 1971201456 3942402912