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59255268 = 223172373173
BaseRepresentation
bin1110001000001…
…0100111100100
311010111110221120
43202002213210
5110132132033
65514013540
71316442612
oct342024744
9133443846
1059255268
11304a23a6
1217a172b0
13c378cb7
147c266b2
1553071b3
hex38829e4

59255268 has 96 divisors (see below), whose sum is σ = 155748096. Its totient is φ = 17436672.

The previous prime is 59255257. The next prime is 59255299. The reversal of 59255268 is 86255295.

It is a super-2 number, since 2×592552682 = 7022373571503648, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342430 + ... + 342602.

It is an arithmetic number, because the mean of its divisors is an integer number (1622376).

Almost surely, 259255268 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 59255268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77874048).

59255268 is an abundant number, since it is smaller than the sum of its proper divisors (96492828).

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

59255268 is a wasteful number, since it uses less digits than its factorization.

59255268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 291 counting only the distinct ones).

The product of its digits is 216000, while the sum is 42.

The square root of 59255268 is about 7697.7443449364. The cubic root of 59255268 is about 389.8602786805.

The spelling of 59255268 in words is "fifty-nine million, two hundred fifty-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 73 92 102 138 146 173 204 219 276 292 346 391 438 519 692 782 876 1038 1173 1241 1564 1679 2076 2346 2482 2941 3358 3723 3979 4692 4964 5037 5882 6716 7446 7958 8823 10074 11764 11937 12629 14892 15916 17646 20148 23874 25258 28543 35292 37887 47748 50516 57086 67643 75774 85629 114172 135286 151548 171258 202929 214693 270572 290467 342516 405858 429386 580934 644079 811716 858772 871401 1161868 1288158 1742802 2576316 3485604 4937939 9875878 14813817 19751756 29627634 59255268