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684572112 = 243274991361
BaseRepresentation
bin101000110011011…
…011110111010000
31202201010212101200
4220303123313100
52400222301422
6151532431200
722651524030
oct5063336720
91681125350
10684572112
11321472184
12171318500
13aba9a073
1466cbd8c0
15401762ac
hex28cdbdd0

684572112 has 120 divisors (see below), whose sum is σ = 2195544000. Its totient is φ = 195056640.

The previous prime is 684572089. The next prime is 684572117. The reversal of 684572112 is 211275486.

684572112 is a `hidden beast` number, since 6 + 84 + 572 + 1 + 1 + 2 = 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 (684572117) 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, 502312 + ... + 503672.

It is an arithmetic number, because the mean of its divisors is an integer number (18296200).

Almost surely, 2684572112 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 684572112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097772000).

684572112 is an abundant number, since it is smaller than the sum of its proper divisors (1510971888).

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

684572112 is a wasteful number, since it uses less digits than its factorization.

684572112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881 (or 1872 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 684572112 is about 26164.3289996132. The cubic root of 684572112 is about 881.3323962191.

The spelling of 684572112 in words is "six hundred eighty-four million, five hundred seventy-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 499 504 998 1008 1361 1497 1996 2722 2994 3493 3992 4083 4491 5444 5988 6986 7984 8166 8982 9527 10479 10888 11976 12249 13972 16332 17964 19054 20958 21776 23952 24498 27944 28581 31437 32664 35928 38108 41916 48996 55888 57162 62874 65328 71856 76216 83832 85743 97992 114324 125748 152432 167664 171486 195984 228648 251496 342972 457296 502992 679139 685944 1358278 1371888 2037417 2716556 4074834 4753973 5433112 6112251 8149668 9507946 10866224 12224502 14261919 16299336 19015892 24449004 28523838 32598672 38031784 42785757 48898008 57047676 76063568 85571514 97796016 114095352 171143028 228190704 342286056 684572112