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56398656 = 2631737467
BaseRepresentation
bin1101011100100…
…1001101000000
310221010100102010
43113021031000
5103414224111
65332452520
71253244366
oct327111500
9127110363
1056398656
1129921166
1216a7a140
13b8b89b2
1476c1636
154e40aa6
hex35c9340

56398656 has 112 divisors (see below), whose sum is σ = 162616896. Its totient is φ = 17178624.

The previous prime is 56398633. The next prime is 56398679. The reversal of 56398656 is 65689365.

It is an interprime number because it is at equal distance from previous prime (56398633) and next prime (56398679).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120535 + ... + 121001.

Almost surely, 256398656 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 56398656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81308448).

56398656 is an abundant number, since it is smaller than the sum of its proper divisors (106218240).

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

56398656 is a wasteful number, since it uses less digits than its factorization.

56398656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 526 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 48.

The square root of 56398656 is about 7509.9038609026. The cubic root of 56398656 is about 383.4919496493.

The spelling of 56398656 in words is "fifty-six million, three hundred ninety-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 37 48 51 64 68 74 96 102 111 136 148 192 204 222 272 296 408 444 467 544 592 629 816 888 934 1088 1184 1258 1401 1632 1776 1868 1887 2368 2516 2802 3264 3552 3736 3774 5032 5604 7104 7472 7548 7939 10064 11208 14944 15096 15878 17279 20128 22416 23817 29888 30192 31756 34558 40256 44832 47634 51837 60384 63512 69116 89664 95268 103674 120768 127024 138232 190536 207348 254048 276464 293743 381072 414696 508096 552928 587486 762144 829392 881229 1105856 1174972 1524288 1658784 1762458 2349944 3317568 3524916 4699888 7049832 9399776 14099664 18799552 28199328 56398656