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56267172 = 223213251479
BaseRepresentation
bin1101011010100…
…1000110100100
310220212200001100
43112221012210
5103401022142
65330000100
71252156143
oct326510644
9126780040
1056267172
11298413a5
1216a16030
13b870bb0
14768975a
154e16b4c
hex35a91a4

56267172 has 72 divisors (see below), whose sum is σ = 154103040. Its totient is φ = 17208000.

The previous prime is 56267153. The next prime is 56267191. The reversal of 56267172 is 27176265.

It is an interprime number because it is at equal distance from previous prime (56267153) and next prime (56267191).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117229 + ... + 117707.

It is an arithmetic number, because the mean of its divisors is an integer number (2140320).

Almost surely, 256267172 is an apocalyptic number.

56267172 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 56267172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77051520).

56267172 is an abundant number, since it is smaller than the sum of its proper divisors (97835868).

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

56267172 is a wasteful number, since it uses less digits than its factorization.

56267172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 748 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 56267172 is about 7501.1447126422. The cubic root of 56267172 is about 383.1937020538.

The spelling of 56267172 in words is "fifty-six million, two hundred sixty-seven thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 251 468 479 502 753 958 1004 1437 1506 1916 2259 2874 3012 3263 4311 4518 5748 6227 6526 8622 9036 9789 12454 13052 17244 18681 19578 24908 29367 37362 39156 56043 58734 74724 112086 117468 120229 224172 240458 360687 480916 721374 1082061 1442748 1562977 2164122 3125954 4328244 4688931 6251908 9377862 14066793 18755724 28133586 56267172