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56189016 = 233213173347
BaseRepresentation
bin1101011001011…
…0000001011000
310220201200211200
43112112001120
5103341022031
65324154200
71251412242
oct326260130
9126650750
1056189016
1129798704
1216998960
13b844450
147669092
154ded8e6
hex3596058

56189016 has 96 divisors (see below), whose sum is σ = 165306960. Its totient is φ = 17139456.

The previous prime is 56189011. The next prime is 56189053. The reversal of 56189016 is 61098165.

56189016 is a `hidden beast` number, since 561 + 8 + 90 + 1 + 6 = 666.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56189011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161755 + ... + 162101.

Almost surely, 256189016 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 56189016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82653480).

56189016 is an abundant number, since it is smaller than the sum of its proper divisors (109117944).

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

56189016 is a wasteful number, since it uses less digits than its factorization.

56189016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 56189016 is about 7495.9332974620. The cubic root of 56189016 is about 383.0161991208.

The spelling of 56189016 in words is "fifty-six million, one hundred eighty-nine thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 173 234 312 346 347 468 519 692 694 936 1038 1041 1384 1388 1557 2076 2082 2249 2776 3114 3123 4152 4164 4498 4511 6228 6246 6747 8328 8996 9022 12456 12492 13494 13533 17992 18044 20241 24984 26988 27066 36088 40482 40599 53976 54132 60031 80964 81198 108264 120062 161928 162396 180093 240124 324792 360186 480248 540279 720372 780403 1080558 1440744 1560806 2161116 2341209 3121612 4322232 4682418 6243224 7023627 9364836 14047254 18729672 28094508 56189016