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68325624 = 23322943761
BaseRepresentation
bin1000001001010…
…01000011111000
311202120022010200
410010221003320
5114442404444
610440242200
71456521033
oct404510370
9152508120
1068325624
1135628064
121aa70360
1311203683
14910801a
155ee9969
hex41290f8

68325624 has 96 divisors (see below), whose sum is σ = 196138800. Its totient is φ = 21450240.

The previous prime is 68325623. The next prime is 68325637. The reversal of 68325624 is 42652386.

68325624 is a `hidden beast` number, since 6 + 8 + 3 + 25 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68325623) 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, 89404 + ... + 90164.

Almost surely, 268325624 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 68325624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98069400).

68325624 is an abundant number, since it is smaller than the sum of its proper divisors (127813176).

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

68325624 is a wasteful number, since it uses less digits than its factorization.

68325624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 838 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 68325624 is about 8265.9315264524. The cubic root of 68325624 is about 408.8159851950.

The spelling of 68325624 in words is "sixty-eight million, three hundred twenty-five thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 43 58 72 86 87 116 129 172 174 232 258 261 344 348 387 516 522 696 761 774 1032 1044 1247 1522 1548 2088 2283 2494 3044 3096 3741 4566 4988 6088 6849 7482 9132 9976 11223 13698 14964 18264 22069 22446 27396 29928 32723 44138 44892 54792 65446 66207 88276 89784 98169 130892 132414 176552 196338 198621 261784 264828 294507 392676 397242 529656 589014 785352 794484 948967 1178028 1588968 1897934 2356056 2846901 3795868 5693802 7591736 8540703 11387604 17081406 22775208 34162812 68325624