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56350824 = 233612631
BaseRepresentation
bin1101011011110…
…1100001101000
310221000220210120
43112331201220
5103411211244
65331443240
71252655055
oct326754150
9127026716
1056350824
1129899232
1216a56520
13b89ccaa
1476ac02c
154e31819
hex35bd868

56350824 has 48 divisors (see below), whose sum is σ = 143451360. Its totient is φ = 18446400.

The previous prime is 56350813. The next prime is 56350831. The reversal of 56350824 is 42805365.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88989 + ... + 89619.

It is an arithmetic number, because the mean of its divisors is an integer number (2988570).

Almost surely, 256350824 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 56350824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71725680).

56350824 is an abundant number, since it is smaller than the sum of its proper divisors (87100536).

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

56350824 is a wasteful number, since it uses less digits than its factorization.

56350824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 56350824 is about 7506.7185907026. The cubic root of 56350824 is about 383.3835051323.

The spelling of 56350824 in words is "fifty-six million, three hundred fifty thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 631 732 1262 1464 1893 2524 3721 3786 5048 7442 7572 11163 14884 15144 22326 29768 38491 44652 76982 89304 115473 153964 230946 307928 461892 923784 2347951 4695902 7043853 9391804 14087706 18783608 28175412 56350824