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56376064 = 28349631
BaseRepresentation
bin1101011100001…
…1101100000000
310221002012102101
43113003230000
5103413013224
65332200144
71253121463
oct327035400
9127065371
1056376064
1129906198
1216a69054
13b8ab624
1476b72da
154e39044
hex35c3b00

56376064 has 36 divisors (see below), whose sum is σ = 113033200. Its totient is φ = 28062720.

The previous prime is 56376043. The next prime is 56376091. The reversal of 56376064 is 46067365.

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 3 ways as a sum of consecutive naturals, for example, 89029 + ... + 89659.

Almost surely, 256376064 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 56376064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56516600).

56376064 is an abundant number, since it is smaller than the sum of its proper divisors (56657136).

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

56376064 is an equidigital number, since it uses as much as digits as its factorization.

56376064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 37.

The square root of 56376064 is about 7508.3995631559. The cubic root of 56376064 is about 383.4407368023.

The spelling of 56376064 in words is "fifty-six million, three hundred seventy-six thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 349 631 698 1262 1396 2524 2792 5048 5584 10096 11168 20192 22336 40384 44672 80768 89344 161536 220219 440438 880876 1761752 3523504 7047008 14094016 28188032 56376064