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56376832 = 29149739
BaseRepresentation
bin1101011100001…
…1111000000000
310221002020110211
43113003320000
5103413024312
65332203504
71253123641
oct327037000
9127066424
1056376832
1129906826
1216a69594
13b8aba95
1476b76c8
154e393a7
hex35c3e00

56376832 has 40 divisors (see below), whose sum is σ = 113553000. Its totient is φ = 27961344.

The previous prime is 56376821. The next prime is 56376839. The reversal of 56376832 is 23867365.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56376839) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 75919 + ... + 76657.

It is an arithmetic number, because the mean of its divisors is an integer number (2838825).

Almost surely, 256376832 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 56376832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56776500).

56376832 is an abundant number, since it is smaller than the sum of its proper divisors (57176168).

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

56376832 is an equidigital number, since it uses as much as digits as its factorization.

56376832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 890 counting only the distinct ones).

The product of its digits is 181440, while the sum is 40.

The square root of 56376832 is about 7508.4507057049. The cubic root of 56376832 is about 383.4424779735.

The spelling of 56376832 in words is "fifty-six million, three hundred seventy-six thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 149 256 298 512 596 739 1192 1478 2384 2956 4768 5912 9536 11824 19072 23648 38144 47296 76288 94592 110111 189184 220222 378368 440444 880888 1761776 3523552 7047104 14094208 28188416 56376832