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56375946 = 23311107887
BaseRepresentation
bin1101011100001…
…1101010001010
310221002012021000
43113003222022
5103413012241
65332155430
71253121234
oct327035212
9127065230
1056375946
11299060a0
1216a68b76
13b8ab563
1476b7254
154e38eb6
hex35c3a8a

56375946 has 64 divisors (see below), whose sum is σ = 138101760. Its totient is φ = 16904880.

The previous prime is 56375939. The next prime is 56375953. The reversal of 56375946 is 64957365.

56375946 is a `hidden beast` number, since 5 + 637 + 5 + 9 + 4 + 6 = 666.

56375946 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56375939) and next prime (56375953).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63115 + ... + 64001.

It is an arithmetic number, because the mean of its divisors is an integer number (2157840).

Almost surely, 256375946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56375946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69050880).

56375946 is an abundant number, since it is smaller than the sum of its proper divisors (81725814).

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

56375946 is a wasteful number, since it uses less digits than its factorization.

56375946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1010 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 56375946 is about 7508.3917052855. The cubic root of 56375946 is about 383.4404692772.

The spelling of 56375946 in words is "fifty-six million, three hundred seventy-five thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 107 198 214 297 321 594 642 887 963 1177 1774 1926 2354 2661 2889 3531 5322 5778 7062 7983 9757 10593 15966 19514 21186 23949 29271 31779 47898 58542 63558 87813 94909 175626 189818 263439 284727 526878 569454 854181 1043999 1708362 2087998 2562543 3131997 5125086 6263994 9395991 18791982 28187973 56375946