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56081448 = 2332611132
BaseRepresentation
bin1101010111101…
…1110000101000
310220112020021200
43111323300220
5103324101243
65322004200
71250453523
oct325736050
9126466250
1056081448
1129724905
1216946660
13b8074b7
14763bbba
154dcbad3
hex357bc28

56081448 has 72 divisors (see below), whose sum is σ = 155755470. Its totient is φ = 18224640.

The previous prime is 56081437. The next prime is 56081471. The reversal of 56081448 is 84418065.

56081448 is a `hidden beast` number, since 5 + 608 + 1 + 4 + 48 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2762244 + 53319204 = 1662^2 + 7302^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×560814483 (a number of 24 digits) contains 333 as substring.

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 17 ways as a sum of consecutive naturals, for example, 496240 + ... + 496352.

Almost surely, 256081448 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 56081448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77877735).

56081448 is an abundant number, since it is smaller than the sum of its proper divisors (99674022).

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

56081448 is a wasteful number, since it uses less digits than its factorization.

56081448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 56081448 is about 7488.7547696530. The cubic root of 56081448 is about 382.7716281551.

It can be divided in two parts, 5608 and 1448, that added together give a square (7056 = 842).

The spelling of 56081448 in words is "fifty-six million, eighty-one thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 113 122 183 226 244 339 366 452 488 549 678 732 904 1017 1098 1356 1464 2034 2196 2712 4068 4392 6893 8136 12769 13786 20679 25538 27572 38307 41358 51076 55144 62037 76614 82716 102152 114921 124074 153228 165432 229842 248148 306456 459684 496296 778909 919368 1557818 2336727 3115636 4673454 6231272 7010181 9346908 14020362 18693816 28040724 56081448