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56107008 = 21332761
BaseRepresentation
bin1101011000001…
…0000000000000
310220120112100100
43112002000000
5103330411013
65322322400
71250621166
oct326020000
9126515310
1056107008
1129742031
1216959400
13b816019
147647236
154dd4473
hex3582000

56107008 has 84 divisors (see below), whose sum is σ = 162289998. Its totient is φ = 18677760.

The previous prime is 56107001. The next prime is 56107043. The reversal of 56107008 is 80070165.

It can be written as a sum of positive squares in only one way, i.e., 56070144 + 36864 = 7488^2 + 192^2 .

It is not an unprimeable number, because it can be changed into a prime (56107001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73348 + ... + 74108.

Almost surely, 256107008 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 56107008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81144999).

56107008 is an abundant number, since it is smaller than the sum of its proper divisors (106182990).

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

56107008 is an equidigital number, since it uses as much as digits as its factorization.

56107008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 56107008 is about 7490.4611340024. The cubic root of 56107008 is about 382.8297707149.

The spelling of 56107008 in words is "fifty-six million, one hundred seven thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 761 768 1024 1152 1522 1536 2048 2283 2304 3044 3072 4096 4566 4608 6088 6144 6849 8192 9132 9216 12176 12288 13698 18264 18432 24352 24576 27396 36528 36864 48704 54792 73056 73728 97408 109584 146112 194816 219168 292224 389632 438336 584448 779264 876672 1168896 1558528 1753344 2337792 3117056 3506688 4675584 6234112 7013376 9351168 14026752 18702336 28053504 56107008