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56451276 = 2233789839
BaseRepresentation
bin1101011101011…
…0000011001100
310221020000121000
43113112003030
5103422420101
65333540300
71253553660
oct327260314
9127200530
1056451276
1129957752
1216aa4690
13b90692b
1476d68a0
154e51486
hex35d60cc

56451276 has 96 divisors (see below), whose sum is σ = 169344000. Its totient is φ = 15928704.

The previous prime is 56451257. The next prime is 56451281. The reversal of 56451276 is 67215465.

It is a happy number.

56451276 is a `hidden beast` number, since 5 + 645 + 1 + 2 + 7 + 6 = 666.

56451276 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 56451276.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66865 + ... + 67703.

It is an arithmetic number, because the mean of its divisors is an integer number (1764000).

Almost surely, 256451276 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 56451276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84672000).

56451276 is an abundant number, since it is smaller than the sum of its proper divisors (112892724).

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

56451276 is a wasteful number, since it uses less digits than its factorization.

56451276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 940 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 56451276 is about 7513.4064178640. The cubic root of 56451276 is about 383.6111786954.

The spelling of 56451276 in words is "fifty-six million, four hundred fifty-one thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 89 108 126 178 189 252 267 356 378 534 623 756 801 839 1068 1246 1602 1678 1869 2403 2492 2517 3204 3356 3738 4806 5034 5607 5873 7476 7551 9612 10068 11214 11746 15102 16821 17619 22428 22653 23492 30204 33642 35238 45306 52857 67284 70476 74671 90612 105714 149342 158571 211428 224013 298684 317142 448026 522697 634284 672039 896052 1045394 1344078 1568091 2016117 2090788 2688156 3136182 4032234 4704273 6272364 8064468 9408546 14112819 18817092 28225638 56451276