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56238080 = 21351373
BaseRepresentation
bin1101011010001…
…0000000000000
310220211012010212
43112202000000
5103344104310
65325213252
71252005263
oct326420000
9126735125
1056238080
1129821558
1216a01228
13b860892
14767ccda
154e0d205
hex35a2000

56238080 has 56 divisors (see below), whose sum is σ = 135061452. Its totient is φ = 22478848.

The previous prime is 56238071. The next prime is 56238107. The reversal of 56238080 is 8083265.

It can be written as a sum of positive squares in 2 ways, for example, as 52301824 + 3936256 = 7232^2 + 1984^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40274 + ... + 41646.

Almost surely, 256238080 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 56238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67530726).

56238080 is an abundant number, since it is smaller than the sum of its proper divisors (78823372).

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

56238080 is an equidigital number, since it uses as much as digits as its factorization.

56238080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 56238080 is about 7499.2052912292. The cubic root of 56238080 is about 383.1276493709.

The spelling of 56238080 in words is "fifty-six million, two hundred thirty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 1373 2048 2560 2746 4096 5120 5492 6865 8192 10240 10984 13730 20480 21968 27460 40960 43936 54920 87872 109840 175744 219680 351488 439360 702976 878720 1405952 1757440 2811904 3514880 5623808 7029760 11247616 14059520 28119040 56238080