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56481633 = 32131773389
BaseRepresentation
bin1101011101110…
…1011101100001
310221021120020100
43113131131201
5103424403013
65334333013
71254041325
oct327353541
9127246210
1056481633
112997853a
1216aba169
13b9176b0
147703985
154e5a473
hex35dd761

56481633 has 48 divisors (see below), whose sum is σ = 94545360. Its totient is φ = 32182272.

The previous prime is 56481613. The next prime is 56481637. The reversal of 56481633 is 33618465.

56481633 is a `hidden beast` number, since 5 + 648 + 1 + 6 + 3 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1306449 + 55175184 = 1143^2 + 7428^2 .

It is not a de Polignac number, because 56481633 - 26 = 56481569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56481637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145003 + ... + 145391.

It is an arithmetic number, because the mean of its divisors is an integer number (1969695).

Almost surely, 256481633 is an apocalyptic number.

It is an amenable number.

56481633 is a deficient number, since it is larger than the sum of its proper divisors (38063727).

56481633 is a wasteful number, since it uses less digits than its factorization.

56481633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 495 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 56481633 is about 7515.4263352121. The cubic root of 56481633 is about 383.6799294161.

The spelling of 56481633 in words is "fifty-six million, four hundred eighty-one thousand, six hundred thirty-three".

Divisors: 1 3 9 13 17 39 51 73 117 153 219 221 389 657 663 949 1167 1241 1989 2847 3501 3723 5057 6613 8541 11169 15171 16133 19839 28397 45513 48399 59517 85191 85969 145197 255573 257907 369161 482749 773721 1107483 1448247 3322449 4344741 6275737 18827211 56481633