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56460249 = 3252112041
BaseRepresentation
bin1101011101100…
…0001111011001
310221020110220100
43113120033121
5103423211444
65334050013
71253622066
oct327301731
9127213810
1056460249
112996346a
1216aa9909
13b90aa41
1476d9c6d
154e53e69
hex35d83d9

56460249 has 12 divisors (see below), whose sum is σ = 81717012. Its totient is φ = 37564800.

The previous prime is 56460223. The next prime is 56460251. The reversal of 56460249 is 94206465.

56460249 is a `hidden beast` number, since 5 + 6 + 4 + 602 + 49 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25857225 + 30603024 = 5085^2 + 5532^2 .

It is not a de Polignac number, because 56460249 - 219 = 55935961 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (56460449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1332 + ... + 10709.

It is an arithmetic number, because the mean of its divisors is an integer number (6809751).

Almost surely, 256460249 is an apocalyptic number.

It is an amenable number.

56460249 is a deficient number, since it is larger than the sum of its proper divisors (25256763).

56460249 is a wasteful number, since it uses less digits than its factorization.

56460249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12568 (or 12565 counting only the distinct ones).

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

The square root of 56460249 is about 7514.0035267492. The cubic root of 56460249 is about 383.6315027753.

The spelling of 56460249 in words is "fifty-six million, four hundred sixty thousand, two hundred forty-nine".

Divisors: 1 3 9 521 1563 4689 12041 36123 108369 6273361 18820083 56460249