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56136672 = 2533431511
BaseRepresentation
bin1101011000100…
…1001111100000
310220122001001000
43112021033200
5103332333142
65323112000
71251103524
oct326111740
9126561030
1056136672
1129762349
1216972600
13b826687
147653d84
154ddd14c
hex35893e0

56136672 has 96 divisors (see below), whose sum is σ = 167650560. Its totient is φ = 18264960.

The previous prime is 56136649. The next prime is 56136673. The reversal of 56136672 is 27663165.

56136672 is a `hidden beast` number, since 561 + 36 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56136673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36397 + ... + 37907.

It is an arithmetic number, because the mean of its divisors is an integer number (1746360).

Almost surely, 256136672 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 56136672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83825280).

56136672 is an abundant number, since it is smaller than the sum of its proper divisors (111513888).

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

56136672 is a wasteful number, since it uses less digits than its factorization.

56136672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1559 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 56136672 is about 7492.4409907586. The cubic root of 56136672 is about 382.8972267063.

The spelling of 56136672 in words is "fifty-six million, one hundred thirty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 86 96 108 129 144 172 216 258 288 344 387 432 516 688 774 864 1032 1161 1376 1511 1548 2064 2322 3022 3096 4128 4533 4644 6044 6192 9066 9288 12088 12384 13599 18132 18576 24176 27198 36264 37152 40797 48352 54396 64973 72528 81594 108792 129946 145056 163188 194919 217584 259892 326376 389838 435168 519784 584757 652752 779676 1039568 1169514 1305504 1559352 1754271 2079136 2339028 3118704 3508542 4678056 6237408 7017084 9356112 14034168 18712224 28068336 56136672