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56050056 = 2334671291
BaseRepresentation
bin1101010111010…
…0000110001000
310220110122020000
43111310012020
5103322100211
65321203000
71250263146
oct325640610
9126418200
1056050056
1129703267
1216930460
13b7c611a
147630596
154dc2656
hex3574188

56050056 has 80 divisors (see below), whose sum is σ = 159458640. Its totient is φ = 18390240.

The previous prime is 56050031. The next prime is 56050061. The reversal of 56050056 is 65005065.

56050056 is a `hidden beast` number, since 5 + 605 + 0 + 0 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42771 + ... + 44061.

It is an arithmetic number, because the mean of its divisors is an integer number (1993233).

Almost surely, 256050056 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 56050056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79729320).

56050056 is an abundant number, since it is smaller than the sum of its proper divisors (103408584).

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

56050056 is a wasteful number, since it uses less digits than its factorization.

56050056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 56050056 is about 7486.6585336851. The cubic root of 56050056 is about 382.7001950871.

The spelling of 56050056 in words is "fifty-six million, fifty thousand, fifty-six", and thus it is an eban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 81 108 134 162 201 216 268 324 402 536 603 648 804 1206 1291 1608 1809 2412 2582 3618 3873 4824 5164 5427 7236 7746 10328 10854 11619 14472 15492 21708 23238 30984 34857 43416 46476 69714 86497 92952 104571 139428 172994 209142 259491 278856 345988 418284 518982 691976 778473 836568 1037964 1556946 2075928 2335419 3113892 4670838 6227784 7006257 9341676 14012514 18683352 28025028 56050056