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56445240 = 23354310939
BaseRepresentation
bin1101011101010…
…0100100111000
310221012201022110
43113110210320
5103422221430
65333452320
71253530245
oct327244470
9127181273
1056445240
1129953165
1216aa10a0
13b903c67
1476d45cc
154e4e7b0
hex35d4938

56445240 has 64 divisors (see below), whose sum is σ = 173289600. Its totient is φ = 14700672.

The previous prime is 56445227. The next prime is 56445247. The reversal of 56445240 is 4254465.

56445240 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 56445198 and 56445207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56445247) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 310 + ... + 10629.

It is an arithmetic number, because the mean of its divisors is an integer number (2707650).

Almost surely, 256445240 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 56445240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86644800).

56445240 is an abundant number, since it is smaller than the sum of its proper divisors (116844360).

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

56445240 is a wasteful number, since it uses less digits than its factorization.

56445240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10996 (or 10992 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 56445240 is about 7513.0047251416. The cubic root of 56445240 is about 383.5975057856.

The spelling of 56445240 in words is "fifty-six million, four hundred forty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 10939 21878 32817 43756 54695 65634 87512 109390 131268 164085 218780 262536 328170 437560 470377 656340 940754 1312680 1411131 1881508 2351885 2822262 3763016 4703770 5644524 7055655 9407540 11289048 14111310 18815080 28222620 56445240