Search a number
-
+
56235456 = 2632175743
BaseRepresentation
bin1101011010000…
…1010111000000
310220211001112200
43112201113000
5103344013311
65325153200
71251664524
oct326412700
9126731480
1056235456
112981a592
12169bb800
13b85c624
14767bd84
154e0c556
hex35a15c0

56235456 has 84 divisors (see below), whose sum is σ = 170700192. Its totient is φ = 17639424.

The previous prime is 56235427. The next prime is 56235463. The reversal of 56235456 is 65453265.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 56235456.

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 11 ways as a sum of consecutive naturals, for example, 6921 + ... + 12663.

Almost surely, 256235456 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 56235456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85350096).

56235456 is an abundant number, since it is smaller than the sum of its proper divisors (114464736).

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

56235456 is a wasteful number, since it uses less digits than its factorization.

56235456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5778 (or 5765 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 56235456 is about 7499.0303373170. The cubic root of 56235456 is about 383.1216905224.

The spelling of 56235456 in words is "fifty-six million, two hundred thirty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 5743 9792 11486 17229 22972 34458 45944 51687 68916 91888 97631 103374 137832 183776 195262 206748 275664 292893 367552 390524 413496 551328 585786 781048 826992 878679 1102656 1171572 1562096 1653984 1757358 2343144 3124192 3307968 3514716 4686288 6248384 7029432 9372576 14058864 18745152 28117728 56235456