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56670800 = 2452141677
BaseRepresentation
bin1101100000101…
…1101001010000
310221122011201112
43120023221100
5104001431200
65342352452
71255456664
oct330135120
9127564645
1056670800
1129a9767a
1216b8b728
13b982824
1477528a4
154e96535
hex360ba50

56670800 has 30 divisors (see below), whose sum is σ = 136152558. Its totient is φ = 22668160.

The previous prime is 56670799. The next prime is 56670847. The reversal of 56670800 is 807665.

It can be written as a sum of positive squares in 3 ways, for example, as 16 + 56670784 = 4^2 + 7528^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 70439 + ... + 71238.

Almost surely, 256670800 is an apocalyptic number.

56670800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56670800 is an abundant number, since it is smaller than the sum of its proper divisors (79481758).

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

56670800 is a wasteful number, since it uses less digits than its factorization.

56670800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141695 (or 141684 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 56670800 is about 7528.0010626992. The cubic root of 56670800 is about 384.1077894743.

The spelling of 56670800 in words is "fifty-six million, six hundred seventy thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 141677 283354 566708 708385 1133416 1416770 2266832 2833540 3541925 5667080 7083850 11334160 14167700 28335400 56670800