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56249088 = 283710463
BaseRepresentation
bin1101011010010…
…0101100000000
310220211202020120
43112210230000
5103344432323
65325340240
71252052340
oct326445400
9126752216
1056249088
1129829855
1216a07680
13b8658ac
147682d20
154e115e3
hex35a4b00

56249088 has 72 divisors (see below), whose sum is σ = 171107328. Its totient is φ = 16069632.

The previous prime is 56249069. The next prime is 56249093. The reversal of 56249088 is 88094265.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145 + ... + 10607.

Almost surely, 256249088 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 56249088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85553664).

56249088 is an abundant number, since it is smaller than the sum of its proper divisors (114858240).

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

56249088 is a wasteful number, since it uses less digits than its factorization.

56249088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10489 (or 10475 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 56249088 is about 7499.9391997536. The cubic root of 56249088 is about 383.1526454472.

The spelling of 56249088 in words is "fifty-six million, two hundred forty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 10463 20926 31389 41852 62778 73241 83704 125556 146482 167408 219723 251112 292964 334816 439446 502224 585928 669632 878892 1004448 1171856 1339264 1757784 2008896 2343712 2678528 3515568 4017792 4687424 7031136 8035584 9374848 14062272 18749696 28124544 56249088