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56805008 = 2413416661
BaseRepresentation
bin1101100010110…
…0011010010000
310221212222211012
43120230122100
5104020230013
65345310052
71256556161
oct330543220
9127788735
1056805008
112a079497
1217035328
13b9cb940
147789768
154ec11a8
hex362c690

56805008 has 40 divisors (see below), whose sum is σ = 121434936. Its totient is φ = 25574400.

The previous prime is 56804983. The next prime is 56805019. The reversal of 56805008 is 80050865.

It can be written as a sum of positive squares in 4 ways, for example, as 1926544 + 54878464 = 1388^2 + 7408^2 .

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 7 ways as a sum of consecutive naturals, for example, 5198 + ... + 11858.

Almost surely, 256805008 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 56805008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60717468).

56805008 is an abundant number, since it is smaller than the sum of its proper divisors (64629928).

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

56805008 is a wasteful number, since it uses less digits than its factorization.

56805008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6723 (or 6717 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 56805008 is about 7536.9097115462. The cubic root of 56805008 is about 384.4107655970.

The spelling of 56805008 in words is "fifty-six million, eight hundred five thousand, eight".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 208 328 533 656 1066 2132 4264 6661 8528 13322 26644 53288 86593 106576 173186 273101 346372 546202 692744 1092404 1385488 2184808 3550313 4369616 7100626 14201252 28402504 56805008