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56224040 = 23519292551
BaseRepresentation
bin1101011001111…
…0100100101000
310220210110212212
43112132210220
5103343132130
65325024252
71251616325
oct326364450
9126713785
1056224040
1129811a54
12169b5088
13b857382
147677b4c
154e08e95
hex359e928

56224040 has 64 divisors (see below), whose sum is σ = 137808000. Its totient is φ = 20563200.

The previous prime is 56224039. The next prime is 56224061. The reversal of 56224040 is 4042265.

56224040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×562240402 = 6322285347843200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56223997 and 56224015.

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 15 ways as a sum of consecutive naturals, for example, 20765 + ... + 23315.

It is an arithmetic number, because the mean of its divisors is an integer number (2153250).

Almost surely, 256224040 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 56224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68904000).

56224040 is an abundant number, since it is smaller than the sum of its proper divisors (81583960).

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

56224040 is a wasteful number, since it uses less digits than its factorization.

56224040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 56224040 is about 7498.2691336068. The cubic root of 56224040 is about 383.0957637405.

The spelling of 56224040 in words is "fifty-six million, two hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 29 38 40 58 76 95 116 145 152 190 232 290 380 551 580 760 1102 1160 2204 2551 2755 4408 5102 5510 10204 11020 12755 20408 22040 25510 48469 51020 73979 96938 102040 147958 193876 242345 295916 369895 387752 484690 591832 739790 969380 1405601 1479580 1938760 2811202 2959160 5622404 7028005 11244808 14056010 28112020 56224040