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56146536 = 233267103113
BaseRepresentation
bin1101011000101…
…1101001101000
310220122112120100
43112023221220
5103333142121
65323225400
71251144345
oct326135150
9126575510
1056146536
11297697a6
1216978260
13b82b004
1476577cc
154de1026
hex358ba68

56146536 has 96 divisors (see below), whose sum is σ = 157210560. Its totient is φ = 18095616.

The previous prime is 56146513. The next prime is 56146553. The reversal of 56146536 is 63564165.

56146536 is a `hidden beast` number, since 5 + 614 + 6 + 5 + 36 = 666.

56146536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (64800) is a multiple of the sum of its prime divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 56146536.

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 23 ways as a sum of consecutive naturals, for example, 496816 + ... + 496928.

It is an arithmetic number, because the mean of its divisors is an integer number (1637610).

Almost surely, 256146536 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 56146536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78605280).

56146536 is an abundant number, since it is smaller than the sum of its proper divisors (101064024).

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

56146536 is a wasteful number, since it uses less digits than its factorization.

56146536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 288 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 56146536 is about 7493.0992252872. The cubic root of 56146536 is about 382.9196521958.

The spelling of 56146536 in words is "fifty-six million, one hundred forty-six thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 103 113 134 201 206 226 268 309 339 402 412 452 536 603 618 678 804 824 904 927 1017 1206 1236 1356 1608 1854 2034 2412 2472 2712 3708 4068 4824 6901 7416 7571 8136 11639 13802 15142 20703 22713 23278 27604 30284 34917 41406 45426 46556 55208 60568 62109 68139 69834 82812 90852 93112 104751 124218 136278 139668 165624 181704 209502 248436 272556 279336 419004 496872 545112 779813 838008 1559626 2339439 3119252 4678878 6238504 7018317 9357756 14036634 18715512 28073268 56146536