Search a number
-
+
56558892 = 2231321672
BaseRepresentation
bin1101011111000…
…0010100101100
310221102111012210
43113300110230
5103434341032
65340130420
71254512505
oct327602454
9127374183
1056558892
1129a20595
1216b36a10
13b943900
147723bac
154e732cc
hex35f052c

56558892 has 54 divisors (see below), whose sum is σ = 143764068. Its totient is φ = 17298528.

The previous prime is 56558891. The next prime is 56558899. The reversal of 56558892 is 29885565.

56558892 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (56558891) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 338593 + ... + 338759.

Almost surely, 256558892 is an apocalyptic number.

56558892 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56558892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71882034).

56558892 is an abundant number, since it is smaller than the sum of its proper divisors (87205176).

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

56558892 is a wasteful number, since it uses less digits than its factorization.

56558892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 185 counting only the distinct ones).

The product of its digits is 864000, while the sum is 48.

The square root of 56558892 is about 7520.5646064641. The cubic root of 56558892 is about 383.8547899306.

Multiplying 56558892 by its sum of digits (48), we get a square (2714826816 = 521042).

The spelling of 56558892 in words is "fifty-six million, five hundred fifty-eight thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 167 169 334 338 501 507 668 676 1002 1014 2004 2028 2171 4342 6513 8684 13026 26052 27889 28223 55778 56446 83667 84669 111556 112892 167334 169338 334668 338676 362557 725114 1087671 1450228 2175342 4350684 4713241 9426482 14139723 18852964 28279446 56558892