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56258874 = 235723719
BaseRepresentation
bin1101011010011…
…1000100111010
310220212020200000
43112213010322
5103400240444
65325453430
71252123020
oct326470472
9126766600
1056258874
1129836141
1216a11276
13b86a199
147686710
154e14469
hex35a713a

56258874 has 96 divisors (see below), whose sum is σ = 150958080. Its totient is φ = 15353712.

The previous prime is 56258863. The next prime is 56258879. The reversal of 56258874 is 47885265.

56258874 is a `hidden beast` number, since 5 + 62 + 588 + 7 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (56258879) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77887 + ... + 78605.

It is an arithmetic number, because the mean of its divisors is an integer number (1572480).

Almost surely, 256258874 is an apocalyptic number.

56258874 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56258874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75479040).

56258874 is an abundant number, since it is smaller than the sum of its proper divisors (94699206).

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

56258874 is a wasteful number, since it uses less digits than its factorization.

56258874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 754 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 56258874 is about 7500.5915766691. The cubic root of 56258874 is about 383.1748639667.

The spelling of 56258874 in words is "fifty-six million, two hundred fifty-eight thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 81 126 138 161 162 189 207 243 322 378 414 483 486 567 621 719 966 1134 1242 1438 1449 1701 1863 2157 2898 3402 3726 4314 4347 5033 5589 6471 8694 10066 11178 12942 13041 15099 16537 19413 26082 30198 33074 38826 39123 45297 49611 58239 78246 90594 99222 115759 116478 135891 148833 174717 231518 271782 297666 347277 349434 407673 446499 694554 815346 892998 1041831 1223019 1339497 2083662 2446038 2678994 3125493 4018491 6250986 8036982 9376479 18752958 28129437 56258874