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388892112 = 24375712027
BaseRepresentation
bin10111001011100…
…000010111010000
31000002202202200120
4113023200113100
51244024021422
6102331150240
712431346150
oct2713402720
91002682616
10388892112
1118a579444
12aa2a5380
136275269b
1439912760
152421c45c
hex172e05d0

388892112 has 80 divisors (see below), whose sum is σ = 1150735872. Its totient is φ = 110862720.

The previous prime is 388892107. The next prime is 388892123. The reversal of 388892112 is 211298883.

It is a super-3 number, since 3×3888921123 (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190843 + ... + 192869.

Almost surely, 2388892112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388892112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575367936).

388892112 is an abundant number, since it is smaller than the sum of its proper divisors (761843760).

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

388892112 is a wasteful number, since it uses less digits than its factorization.

388892112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616 (or 2610 counting only the distinct ones).

The product of its digits is 55296, while the sum is 42.

The square root of 388892112 is about 19720.3476642781. The cubic root of 388892112 is about 729.9218731677.

The spelling of 388892112 in words is "three hundred eighty-eight million, eight hundred ninety-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 571 1142 1713 2027 2284 3426 3997 4054 4568 6081 6852 7994 8108 9136 11991 12162 13704 14189 15988 16216 23982 24324 27408 28378 31976 32432 42567 47964 48648 56756 63952 85134 95928 97296 113512 170268 191856 227024 340536 681072 1157417 2314834 3472251 4629668 6944502 8101919 9259336 13889004 16203838 18518672 24305757 27778008 32407676 48611514 55556016 64815352 97223028 129630704 194446056 388892112