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4200439992 = 233761409879
BaseRepresentation
bin1111101001011101…
…1010000010111000
3101211201212110102120
43322113122002320
532100303034432
61532450001240
7206043102510
oct37227320270
911751773376
104200439992
111866047811
12992876220
1351c301068
142bbc0c840
15198b69c2c
hexfa5da0b8

4200439992 has 64 divisors (see below), whose sum is σ = 12198028800. Its totient is φ = 1180448640.

The previous prime is 4200439987. The next prime is 4200440003. The reversal of 4200439992 is 2999340024.

It is a super-3 number, since 3×42004399923 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 194692 + ... + 215187.

It is an arithmetic number, because the mean of its divisors is an integer number (190594200).

Almost surely, 24200439992 is an apocalyptic number.

4200439992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4200439992 is an abundant number, since it is smaller than the sum of its proper divisors (7997588808).

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

4200439992 is a wasteful number, since it uses less digits than its factorization.

4200439992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409956 (or 409952 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 4200439992 is about 64810.8015071562. The cubic root of 4200439992 is about 1613.4849849856.

The spelling of 4200439992 in words is "four billion, two hundred million, four hundred thirty-nine thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 84 122 168 183 244 366 427 488 732 854 1281 1464 1708 2562 3416 5124 10248 409879 819758 1229637 1639516 2459274 2869153 3279032 4918548 5738306 8607459 9837096 11476612 17214918 22953224 25002619 34429836 50005238 68859672 75007857 100010476 150015714 175018333 200020952 300031428 350036666 525054999 600062856 700073332 1050109998 1400146664 2100219996 4200439992