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255104532 = 223329471733
BaseRepresentation
bin11110011010010…
…01011000010100
3122210000122122000
433031021120110
51010301321112
641151435300
76215231664
oct1715113024
9583018560
10255104532
11120aaa8a1
1271525b30
1340b0bc37
1425c481a4
15175e17dc
hexf349614

255104532 has 96 divisors (see below), whose sum is σ = 699148800. Its totient is φ = 80309376.

The previous prime is 255104513. The next prime is 255104543. The reversal of 255104532 is 235401552.

It is a happy number.

255104532 is a `hidden beast` number, since 25 + 5 + 104 + 532 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 255104496 and 255104505.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 146338 + ... + 148070.

It is an arithmetic number, because the mean of its divisors is an integer number (7282800).

Almost surely, 2255104532 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 255104532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349574400).

255104532 is an abundant number, since it is smaller than the sum of its proper divisors (444044268).

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

255104532 is a wasteful number, since it uses less digits than its factorization.

255104532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 255104532 is about 15971.9921111926. The cubic root of 255104532 is about 634.2192085650.

The spelling of 255104532 in words is "two hundred fifty-five million, one hundred four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 47 54 58 87 94 108 116 141 174 188 261 282 348 423 522 564 783 846 1044 1269 1363 1566 1692 1733 2538 2726 3132 3466 4089 5076 5199 5452 6932 8178 10398 12267 15597 16356 20796 24534 31194 36801 46791 49068 50257 62388 73602 81451 93582 100514 147204 150771 162902 187164 201028 244353 301542 325804 452313 488706 603084 733059 904626 977412 1356939 1466118 1809252 2199177 2362079 2713878 2932236 4398354 4724158 5427756 7086237 8796708 9448316 14172474 21258711 28344948 42517422 63776133 85034844 127552266 255104532