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56353536 = 283331263
BaseRepresentation
bin1101011011111…
…0001100000000
310221001001112000
43112332030000
5103411303121
65331504000
71252666011
oct326761400
9127031460
1056353536
11298a0278
1216a58000
13b8a12b5
1476ad008
154e32526
hex35be300

56353536 has 144 divisors (see below), whose sum is σ = 172677120. Its totient is φ = 18109440.

The previous prime is 56353529. The next prime is 56353547. The reversal of 56353536 is 63535365.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 56353536.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214141 + ... + 214403.

Almost surely, 256353536 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 56353536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86338560).

56353536 is an abundant number, since it is smaller than the sum of its proper divisors (116323584).

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

56353536 is a wasteful number, since it uses less digits than its factorization.

56353536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 299 counting only the distinct ones).

The product of its digits is 121500, while the sum is 36.

The square root of 56353536 is about 7506.8992267114. The cubic root of 56353536 is about 383.3896554085.

The spelling of 56353536 in words is "fifty-six million, three hundred fifty-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 256 263 279 288 372 384 432 496 526 558 576 744 768 789 837 864 992 1052 1116 1152 1488 1578 1674 1728 1984 2104 2232 2304 2367 2976 3156 3348 3456 3968 4208 4464 4734 5952 6312 6696 6912 7101 7936 8153 8416 8928 9468 11904 12624 13392 14202 16306 16832 17856 18936 23808 24459 25248 26784 28404 32612 33664 35712 37872 48918 50496 53568 56808 65224 67328 71424 73377 75744 97836 100992 107136 113616 130448 146754 151488 195672 201984 214272 220131 227232 260896 293508 302976 391344 440262 454464 521792 587016 605952 782688 880524 908928 1043584 1174032 1565376 1761048 1817856 2087168 2348064 3130752 3522096 4696128 6261504 7044192 9392256 14088384 18784512 28176768 56353536