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192425856 = 2737174211
BaseRepresentation
bin10110111100000…
…10111110000000
3111102002020122120
423132002332000
5343230111411
631032204240
74524410220
oct1336027600
9442066576
10192425856
119968a437
1254539680
1330b3496c
141b7b0080
1511d60106
hexb782f80

192425856 has 128 divisors (see below), whose sum is σ = 618658560. Its totient is φ = 51732480.

The previous prime is 192425837. The next prime is 192425861. The reversal of 192425856 is 658524291.

192425856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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, 43591 + ... + 47801.

It is an arithmetic number, because the mean of its divisors is an integer number (4833270).

Almost surely, 2192425856 is an apocalyptic number.

192425856 is a gapful number since it is divisible by the number (16) 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 192425856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309329280).

192425856 is an abundant number, since it is smaller than the sum of its proper divisors (426232704).

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

192425856 is a wasteful number, since it uses less digits than its factorization.

192425856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4252 (or 4240 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 192425856 is about 13871.7647038868. The cubic root of 192425856 is about 577.3260344425.

The spelling of 192425856 in words is "one hundred ninety-two million, four hundred twenty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 272 336 357 384 408 448 476 544 672 714 816 896 952 1088 1344 1428 1632 1904 2176 2688 2856 3264 3808 4211 5712 6528 7616 8422 11424 12633 15232 16844 22848 25266 29477 33688 45696 50532 58954 67376 71587 88431 101064 117908 134752 143174 176862 202128 214761 235816 269504 286348 353724 404256 429522 471632 501109 539008 572696 707448 808512 859044 943264 1002218 1145392 1414896 1503327 1617024 1718088 1886528 2004436 2290784 2829792 3006654 3436176 3773056 4008872 4581568 5659584 6013308 6872352 8017744 9163136 11319168 12026616 13744704 16035488 24053232 27489408 32070976 48106464 64141952 96212928 192425856