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55252656 = 243229101131
BaseRepresentation
bin1101001011000…
…1011010110000
310211222010101200
43102301122300
5103121041111
65252131200
71240432314
oct322613260
9124863350
1055252656
1129209158
1216606b00
13b5a71a4
1474a3b44
154cb6256
hex34b16b0

55252656 has 120 divisors (see below), whose sum is σ = 162779760. Its totient is φ = 17472000.

The previous prime is 55252649. The next prime is 55252657. The reversal of 55252656 is 65625255.

55252656 is a `hidden beast` number, since 552 + 52 + 6 + 56 = 666.

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 55252656.

It is not an unprimeable number, because it can be changed into a prime (55252657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421711 + ... + 421841.

It is an arithmetic number, because the mean of its divisors is an integer number (1356498).

Almost surely, 255252656 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 55252656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81389880).

55252656 is an abundant number, since it is smaller than the sum of its proper divisors (107527104).

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

55252656 is a wasteful number, since it uses less digits than its factorization.

55252656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 266 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

The square root of 55252656 is about 7433.2130334062. The cubic root of 55252656 is about 380.8766831776.

The spelling of 55252656 in words is "fifty-five million, two hundred fifty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 101 116 131 144 174 202 232 261 262 303 348 393 404 464 522 524 606 696 786 808 909 1044 1048 1179 1212 1392 1572 1616 1818 2088 2096 2358 2424 2929 3144 3636 3799 4176 4716 4848 5858 6288 7272 7598 8787 9432 11397 11716 13231 14544 15196 17574 18864 22794 23432 26361 26462 30392 34191 35148 39693 45588 46864 52722 52924 60784 68382 70296 79386 91176 105444 105848 119079 136764 140592 158772 182352 210888 211696 238158 273528 317544 383699 421776 476316 547056 635088 767398 952632 1151097 1534796 1905264 2302194 3069592 3453291 4604388 6139184 6906582 9208776 13813164 18417552 27626328 55252656