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125921856 = 26317173223
BaseRepresentation
bin1111000000101…
…10101001000000
322202221111022110
413200112221000
5224213444411
620254535320
73056214054
oct740265100
9282844273
10125921856
1165096a55
1236207540
132011b498
1412a1bc64
15b0c52a6
hex7816a40

125921856 has 112 divisors (see below), whose sum is σ = 356396544. Its totient is φ = 39100416.

The previous prime is 125921843. The next prime is 125921867. The reversal of 125921856 is 658129521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 564561 + ... + 564783.

It is an arithmetic number, because the mean of its divisors is an integer number (3182112).

Almost surely, 2125921856 is an apocalyptic number.

125921856 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 125921856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178198272).

125921856 is an abundant number, since it is smaller than the sum of its proper divisors (230474688).

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

125921856 is a wasteful number, since it uses less digits than its factorization.

125921856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 418 counting only the distinct ones).

The product of its digits is 43200, while the sum is 39.

The square root of 125921856 is about 11221.4908100484. The cubic root of 125921856 is about 501.2261320758.

The spelling of 125921856 in words is "one hundred twenty-five million, nine hundred twenty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 173 192 204 223 272 346 408 446 519 544 669 692 816 892 1038 1088 1338 1384 1632 1784 2076 2676 2768 2941 3264 3568 3791 4152 5352 5536 5882 7136 7582 8304 8823 10704 11072 11373 11764 14272 15164 16608 17646 21408 22746 23528 30328 33216 35292 38579 42816 45492 47056 60656 70584 77158 90984 94112 115737 121312 141168 154316 181968 188224 231474 242624 282336 308632 363936 462948 564672 617264 655843 727872 925896 1234528 1311686 1851792 1967529 2469056 2623372 3703584 3935058 5246744 7407168 7870116 10493488 15740232 20986976 31480464 41973952 62960928 125921856