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672089832 = 2333171031777
BaseRepresentation
bin101000000011110…
…100011011101000
31201211122200221000
4220003310123220
52334023333312
6150405115000
722440445401
oct5003643350
91654580830
10672089832
11315417047
121690b8a60
13a93196bb
14653909a8
153e00cadc
hex280f46e8

672089832 has 128 divisors (see below), whose sum is σ = 1997049600. Its totient is φ = 208687104.

The previous prime is 672089813. The next prime is 672089837. The reversal of 672089832 is 238980276.

It is not an unprimeable number, because it can be changed into a prime (672089837) by changing a digit.

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, 377328 + ... + 379104.

It is an arithmetic number, because the mean of its divisors is an integer number (15601950).

Almost surely, 2672089832 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 672089832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998524800).

672089832 is an abundant number, since it is smaller than the sum of its proper divisors (1324959768).

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

672089832 is a wasteful number, since it uses less digits than its factorization.

672089832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 672089832 is about 25924.6954080467. The cubic root of 672089832 is about 875.9428560960.

The spelling of 672089832 in words is "six hundred seventy-two million, eighty-nine thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 103 108 136 153 204 206 216 306 309 408 412 459 612 618 824 918 927 1224 1236 1751 1777 1836 1854 2472 2781 3502 3554 3672 3708 5253 5331 5562 7004 7108 7416 10506 10662 11124 14008 14216 15759 15993 21012 21324 22248 30209 31518 31986 42024 42648 47277 47979 60418 63036 63972 90627 94554 95958 120836 126072 127944 181254 183031 189108 191916 241672 271881 362508 366062 378216 383832 543762 549093 725016 732124 815643 1087524 1098186 1464248 1631286 1647279 2175048 2196372 3111527 3262572 3294558 4392744 4941837 6223054 6525144 6589116 9334581 9883674 12446108 13178232 18669162 19767348 24892216 28003743 37338324 39534696 56007486 74676648 84011229 112014972 168022458 224029944 336044916 672089832