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56125152 = 25322337229
BaseRepresentation
bin1101011000011…
…0011011100000
310220121110020100
43112012123200
5103332001102
65322542400
71251025116
oct326063340
9126543210
1056125152
1129754726
1216967a00
13b821365
14764dab6
154dd9a1c
hex35866e0

56125152 has 144 divisors (see below), whose sum is σ = 171793440. Its totient is φ = 17335296.

The previous prime is 56125141. The next prime is 56125169. The reversal of 56125152 is 25152165.

56125152 is a `hidden beast` number, since 561 + 2 + 51 + 52 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244974 + ... + 245202.

It is an arithmetic number, because the mean of its divisors is an integer number (1193010).

Almost surely, 256125152 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 56125152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85896720).

56125152 is an abundant number, since it is smaller than the sum of its proper divisors (115668288).

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

56125152 is a wasteful number, since it uses less digits than its factorization.

56125152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 294 counting only the distinct ones).

The product of its digits is 3000, while the sum is 27.

The square root of 56125152 is about 7491.6721764904. The cubic root of 56125152 is about 382.8710330278.

The spelling of 56125152 in words is "fifty-six million, one hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 37 46 48 69 72 74 92 96 111 138 144 148 184 207 222 229 276 288 296 333 368 414 444 458 552 592 666 687 736 828 851 888 916 1104 1184 1332 1374 1656 1702 1776 1832 2061 2208 2553 2664 2748 3312 3404 3552 3664 4122 5106 5267 5328 5496 6624 6808 7328 7659 8244 8473 10212 10534 10656 10992 13616 15318 15801 16488 16946 20424 21068 21984 25419 27232 30636 31602 32976 33892 40848 42136 47403 50838 61272 63204 65952 67784 76257 81696 84272 94806 101676 122544 126408 135568 152514 168544 189612 194879 203352 245088 252816 271136 305028 379224 389758 406704 505632 584637 610056 758448 779516 813408 1169274 1220112 1516896 1559032 1753911 2338548 2440224 3118064 3507822 4677096 6236128 7015644 9354192 14031288 18708384 28062576 56125152