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686543904 = 25337271093
BaseRepresentation
bin101000111010111…
…101010000100000
31202211212001012000
4220322331100200
52401223401104
6152043004000
723004345504
oct5072752040
91684761160
10686543904
11322599662
12171b09600
13ac30a6c7
1467274304
1540415639
hex28ebd420

686543904 has 96 divisors (see below), whose sum is σ = 2007008640. Its totient is φ = 228324096.

The previous prime is 686543881. The next prime is 686543909. The reversal of 686543904 is 409345686.

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

It is a super-2 number, since 2×6865439042 = 942685064239122432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 686543904.

It is not an unprimeable number, because it can be changed into a prime (686543909) 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 15 ways as a sum of consecutive naturals, for example, 627582 + ... + 628674.

It is an arithmetic number, because the mean of its divisors is an integer number (20906340).

Almost surely, 2686543904 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 686543904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003504320).

686543904 is an abundant number, since it is smaller than the sum of its proper divisors (1320464736).

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

686543904 is a wasteful number, since it uses less digits than its factorization.

686543904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 686543904 is about 26201.9828257329. The cubic root of 686543904 is about 882.1777604599.

The spelling of 686543904 in words is "six hundred eighty-six million, five hundred forty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 727 864 1093 1454 2181 2186 2908 3279 4362 4372 5816 6543 6558 8724 8744 9837 11632 13086 13116 17448 17488 19629 19674 23264 26172 26232 29511 34896 34976 39258 39348 52344 52464 59022 69792 78516 78696 104688 104928 118044 157032 157392 209376 236088 314064 314784 472176 628128 794611 944352 1589222 2383833 3178444 4767666 6356888 7151499 9535332 12713776 14302998 19070664 21454497 25427552 28605996 38141328 42908994 57211992 76282656 85817988 114423984 171635976 228847968 343271952 686543904