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56377000 = 235356377
BaseRepresentation
bin1101011100001…
…1111010101000
310221002020201001
43113003322220
5103413031000
65332204344
71253124301
oct327037250
9127066631
1056377000
1129906969
1216a696b4
13b8abb94
1476b77a8
154e3946a
hex35c3ea8

56377000 has 32 divisors (see below), whose sum is σ = 131924520. Its totient is φ = 22550400.

The previous prime is 56376989. The next prime is 56377019. The reversal of 56377000 is 77365.

It can be written as a sum of positive squares in 4 ways, for example, as 3407716 + 52969284 = 1846^2 + 7278^2 .

It is a super-2 number, since 2×563770002 = 6356732258000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 56377000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27189 + ... + 29188.

Almost surely, 256377000 is an apocalyptic number.

56377000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56377000 is an abundant number, since it is smaller than the sum of its proper divisors (75547520).

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

56377000 is a wasteful number, since it uses less digits than its factorization.

56377000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56398 (or 56384 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 28.

The square root of 56377000 is about 7508.4618930910. The cubic root of 56377000 is about 383.4428588527.

The spelling of 56377000 in words is "fifty-six million, three hundred seventy-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 56377 112754 225508 281885 451016 563770 1127540 1409425 2255080 2818850 5637700 7047125 11275400 14094250 28188500 56377000