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679509468 = 2232113534861
BaseRepresentation
bin101000100000000…
…111110111011100
31202100121122202100
4220200013313130
52342423300333
6151232125100
722560510111
oct5040076734
91670548670
10679509468
11319624580
1216b696790
13aaa16911
1466362908
153e9c6213
hex28807ddc

679509468 has 72 divisors (see below), whose sum is σ = 1879493616. Its totient is φ = 205286400.

The previous prime is 679509427. The next prime is 679509487. The reversal of 679509468 is 864905976.

679509468 is a `hidden beast` number, since 6 + 79 + 509 + 4 + 68 = 666.

It is a congruent number.

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, 137358 + ... + 142218.

It is an arithmetic number, because the mean of its divisors is an integer number (26104078).

Almost surely, 2679509468 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 679509468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939746808).

679509468 is an abundant number, since it is smaller than the sum of its proper divisors (1199984148).

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

679509468 is a wasteful number, since it uses less digits than its factorization.

679509468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5235 (or 5230 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 679509468 is about 26067.4024022341. The cubic root of 679509468 is about 879.1544339930.

The spelling of 679509468 in words is "six hundred seventy-nine million, five hundred nine thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 353 396 706 1059 1412 2118 3177 3883 4236 4861 6354 7766 9722 11649 12708 14583 15532 19444 23298 29166 34947 43749 46596 53471 58332 69894 87498 106942 139788 160413 174996 213884 320826 481239 641652 962478 1715933 1924956 3431866 5147799 6863732 10295598 15443397 18875263 20591196 30886794 37750526 56625789 61773588 75501052 113251578 169877367 226503156 339754734 679509468