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56247296 = 210721959
BaseRepresentation
bin1101011010010…
…0010000000000
310220211122210012
43112210100000
5103344403141
65325324052
71252044200
oct326442000
9126748705
1056247296
1129828476
1216a06628
13b864b31
147682400
154e10ceb
hex35a4400

56247296 has 132 divisors (see below), whose sum is σ = 140014800. Its totient is φ = 22450176.

The previous prime is 56247253. The next prime is 56247313. The reversal of 56247296 is 69274265.

Its product of digits (181440) is a multiple of the sum of its prime factors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 953315 + ... + 953373.

Almost surely, 256247296 is an apocalyptic number.

56247296 is a gapful number since it is divisible by the number (56) 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 56247296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70007400).

56247296 is an abundant number, since it is smaller than the sum of its proper divisors (83767504).

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

56247296 is a wasteful number, since it uses less digits than its factorization.

56247296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 87 counting only the distinct ones).

The product of its digits is 181440, while the sum is 41.

The square root of 56247296 is about 7499.8197311669. The cubic root of 56247296 is about 383.1485765408.

The spelling of 56247296 in words is "fifty-six million, two hundred forty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 59 64 76 98 112 118 128 133 152 196 224 236 256 266 304 392 413 448 472 512 532 608 784 826 896 931 944 1024 1064 1121 1216 1568 1652 1792 1862 1888 2128 2242 2432 2891 3136 3304 3584 3724 3776 4256 4484 4864 5782 6272 6608 7168 7448 7552 7847 8512 8968 9728 11564 12544 13216 14896 15104 15694 17024 17936 19456 23128 25088 26432 29792 30208 31388 34048 35872 46256 50176 52864 54929 59584 60416 62776 68096 71744 92512 105728 109858 119168 125552 136192 143488 185024 211456 219716 238336 251104 286976 370048 422912 439432 476672 502208 573952 740096 878864 953344 1004416 1147904 1480192 1757728 2008832 2960384 3515456 4017664 7030912 8035328 14061824 28123648 56247296