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667871904 = 25373726861
BaseRepresentation
bin100111110011101…
…110101010100000
31201112201102000110
4213303232222200
52331433400104
6150134451320
722356550260
oct4763565240
91645642013
10667871904
11312aa6057
12167803b40
13a84a089b
14649b37a0
153d977e89
hex27ceeaa0

667871904 has 96 divisors (see below), whose sum is σ = 2057844096. Its totient is φ = 185656320.

The previous prime is 667871891. The next prime is 667871933. The reversal of 667871904 is 409178766.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11434 + ... + 38294.

It is an arithmetic number, because the mean of its divisors is an integer number (21435876).

Almost surely, 2667871904 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 667871904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028922048).

667871904 is an abundant number, since it is smaller than the sum of its proper divisors (1389972192).

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

667871904 is a wasteful number, since it uses less digits than its factorization.

667871904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26918 (or 26910 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 667871904 is about 25843.2177563089. The cubic root of 667871904 is about 874.1065837093.

The spelling of 667871904 in words is "six hundred sixty-seven million, eight hundred seventy-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 74 84 96 111 112 148 168 222 224 259 296 336 444 518 592 672 777 888 1036 1184 1554 1776 2072 3108 3552 4144 6216 8288 12432 24864 26861 53722 80583 107444 161166 188027 214888 322332 376054 429776 564081 644664 752108 859552 993857 1128162 1289328 1504216 1987714 2256324 2578656 2981571 3008432 3975428 4512648 5963142 6016864 6956999 7950856 9025296 11926284 13913998 15901712 18050592 20870997 23852568 27827996 31803424 41741994 47705136 55655992 83483988 95410272 111311984 166967976 222623968 333935952 667871904