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672919164 = 223453149263
BaseRepresentation
bin101000000110111…
…110111001111100
31201220012211120000
4220012332321330
52334231403124
6150434554300
722450501311
oct5006767174
91656184500
10672919164
11315933145
12169438990
13a954a028
1465528d08
153e1236c9
hex281bee7c

672919164 has 120 divisors (see below), whose sum is σ = 1811224800. Its totient is φ = 217766016.

The previous prime is 672919157. The next prime is 672919171. The reversal of 672919164 is 461919276.

It is an interprime number because it is at equal distance from previous prime (672919157) and next prime (672919171).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2558497 + ... + 2558759.

It is an arithmetic number, because the mean of its divisors is an integer number (15093540).

Almost surely, 2672919164 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 672919164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905612400).

672919164 is an abundant number, since it is smaller than the sum of its proper divisors (1138305636).

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

672919164 is a wasteful number, since it uses less digits than its factorization.

672919164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 470 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 672919164 is about 25940.6854959540. The cubic root of 672919164 is about 876.3030008309.

The spelling of 672919164 in words is "six hundred seventy-two million, nine hundred nineteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 149 159 162 212 263 298 318 324 447 477 526 596 636 789 894 954 1052 1341 1431 1578 1788 1908 2367 2682 2862 3156 4023 4293 4734 5364 5724 7101 7897 8046 8586 9468 12069 13939 14202 15794 16092 17172 21303 23691 24138 27878 28404 31588 39187 41817 42606 47382 48276 55756 71073 78374 83634 85212 94764 117561 125451 142146 156748 167268 213219 235122 250902 284292 352683 376353 426438 470244 501804 639657 705366 752706 852876 1058049 1129059 1279314 1410732 1505412 2076911 2116098 2258118 2558628 3174147 4153822 4232196 4516236 6230733 6348294 8307644 12461466 12696588 18692199 24922932 37384398 56076597 74768796 112153194 168229791 224306388 336459582 672919164