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56353088 = 2611219383
BaseRepresentation
bin1101011011111…
…0000101000000
310221001000220102
43112332011000
5103411244323
65331501532
71252664501
oct326760500
9127030812
1056353088
112989aa00
1216a578a8
13b8a102c
1476acba8
154e32328
hex35be140

56353088 has 84 divisors (see below), whose sum is σ = 129722880. Its totient is φ = 24203520.

The previous prime is 56353057. The next prime is 56353111. The reversal of 56353088 is 88035365.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

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, 146945 + ... + 147327.

It is an arithmetic number, because the mean of its divisors is an integer number (1544320).

Almost surely, 256353088 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 56353088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64861440).

56353088 is an abundant number, since it is smaller than the sum of its proper divisors (73369792).

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

56353088 is a wasteful number, since it uses less digits than its factorization.

56353088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 56353088 is about 7506.8693874344. The cubic root of 56353088 is about 383.3886394472.

The spelling of 56353088 in words is "fifty-six million, three hundred fifty-three thousand, eighty-eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 121 152 176 209 242 304 352 383 418 484 608 704 766 836 968 1216 1532 1672 1936 2299 3064 3344 3872 4213 4598 6128 6688 7277 7744 8426 9196 12256 13376 14554 16852 18392 24512 29108 33704 36784 46343 58216 67408 73568 80047 92686 116432 134816 147136 160094 185372 232864 269632 320188 370744 465728 640376 741488 880517 1280752 1482976 1761034 2561504 2965952 3522068 5123008 7044136 14088272 28176544 56353088