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675233568 = 253231531427
BaseRepresentation
bin101000001111110…
…011111100100000
31202001120102022200
4220033303330200
52340324433233
6151000333200
722506250662
oct5017637440
91661512280
10675233568
11317173a79
1216a174200
13a9b7a5b9
146596c532
153e42e313
hex283f3f20

675233568 has 144 divisors (see below), whose sum is σ = 2020951296. Its totient is φ = 213557760.

The previous prime is 675233497. The next prime is 675233597. The reversal of 675233568 is 865332576.

675233568 is a `hidden beast` number, since 6 + 7 + 52 + 33 + 568 = 666.

675233568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 472471 + ... + 473897.

It is an arithmetic number, because the mean of its divisors is an integer number (14034384).

Almost surely, 2675233568 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 675233568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010475648).

675233568 is an abundant number, since it is smaller than the sum of its proper divisors (1345717728).

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

675233568 is a wasteful number, since it uses less digits than its factorization.

675233568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1516 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 675233568 is about 25985.2567430072. The cubic root of 675233568 is about 877.3064886070.

The spelling of 675233568 in words is "six hundred seventy-five million, two hundred thirty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 53 62 72 93 96 106 124 144 159 186 212 248 279 288 318 372 424 477 496 558 636 744 848 954 992 1116 1272 1427 1488 1643 1696 1908 2232 2544 2854 2976 3286 3816 4281 4464 4929 5088 5708 6572 7632 8562 8928 9858 11416 12843 13144 14787 15264 17124 19716 22832 25686 26288 29574 34248 39432 44237 45664 51372 52576 59148 68496 75631 78864 88474 102744 118296 132711 136992 151262 157728 176948 205488 226893 236592 265422 302524 353896 398133 410976 453786 473184 530844 605048 680679 707792 796266 907572 1061688 1210096 1361358 1415584 1592532 1815144 2123376 2344561 2420192 2722716 3185064 3630288 4246752 4689122 5445432 6370128 7033683 7260576 9378244 10890864 12740256 14067366 18756488 21101049 21781728 28134732 37512976 42202098 56269464 75025952 84404196 112538928 168808392 225077856 337616784 675233568