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56377700 = 2252563777
BaseRepresentation
bin1101011100010…
…0000101100100
310221002021122222
43113010011210
5103413041300
65332211512
71253126321
oct327040544
9127067588
1056377700
1129907445
1216a69b98
13b8ac2b2
1476b7b48
154e39785
hex35c4164

56377700 has 18 divisors (see below), whose sum is σ = 122339826. Its totient is φ = 22551040.

The previous prime is 56377691. The next prime is 56377721. The reversal of 56377700 is 777365.

It can be written as a sum of positive squares in 3 ways, for example, as 7573504 + 48804196 = 2752^2 + 6986^2 .

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 5 ways as a sum of consecutive naturals, for example, 281789 + ... + 281988.

It is an arithmetic number, because the mean of its divisors is an integer number (6796657).

Almost surely, 256377700 is an apocalyptic number.

56377700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56377700 is an abundant number, since it is smaller than the sum of its proper divisors (65962126).

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

56377700 is a wasteful number, since it uses less digits than its factorization.

56377700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563791 (or 563784 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 35.

The square root of 56377700 is about 7508.5085070206. The cubic root of 56377700 is about 383.4444458408. Note that the first 5 decimals are identical.

The spelling of 56377700 in words is "fifty-six million, three hundred seventy-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 563777 1127554 2255108 2818885 5637770 11275540 14094425 28188850 56377700