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255324096 = 26331391063
BaseRepresentation
bin11110011011111…
…10111111000000
3122210102210211000
433031332333000
51010330332341
641200252000
76220135056
oct1715767700
9583383730
10255324096
1112113a855
1271611000
1340b87b61
1425ca41d6
15176368b6
hexf37efc0

255324096 has 112 divisors (see below), whose sum is σ = 756716800. Its totient is φ = 84416256.

The previous prime is 255324059. The next prime is 255324119. The reversal of 255324096 is 690423552.

255324096 is digitally balanced in base 3, 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).

It is a self number, because there is not a number n which added to its sum of digits gives 255324096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239661 + ... + 240723.

It is an arithmetic number, because the mean of its divisors is an integer number (6756400).

Almost surely, 2255324096 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 255324096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378358400).

255324096 is an abundant number, since it is smaller than the sum of its proper divisors (501392704).

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

255324096 is a wasteful number, since it uses less digits than its factorization.

255324096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1207 counting only the distinct ones).

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

The square root of 255324096 is about 15978.8640397245. The cubic root of 255324096 is about 634.4011101745.

The spelling of 255324096 in words is "two hundred fifty-five million, three hundred twenty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 139 144 192 216 278 288 417 432 556 576 834 864 1063 1112 1251 1668 1728 2126 2224 2502 3189 3336 3753 4252 4448 5004 6378 6672 7506 8504 8896 9567 10008 12756 13344 15012 17008 19134 20016 25512 26688 28701 30024 34016 38268 40032 51024 57402 60048 68032 76536 80064 102048 114804 120096 147757 153072 204096 229608 240192 295514 306144 443271 459216 591028 612288 886542 918432 1182056 1329813 1773084 1836864 2364112 2659626 3546168 3989439 4728224 5319252 7092336 7978878 9456448 10638504 14184672 15957756 21277008 28369344 31915512 42554016 63831024 85108032 127662048 255324096