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685983104 = 2722723609
BaseRepresentation
bin101000111000110…
…100010110000000
31202210210112220122
4220320310112000
52401102424404
6152022555412
722666521512
oct5070642600
91683715818
10685983104
11322246294
12171898b68
13ac172381
1467169bb2
15403543be
hex28e34580

685983104 has 32 divisors (see below), whose sum is σ = 1372685400. Its totient is φ = 341466112.

The previous prime is 685983091. The next prime is 685983161. The reversal of 685983104 is 401389586.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17252 + ... + 40860.

Almost surely, 2685983104 is an apocalyptic number.

685983104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 685983104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686342700).

685983104 is an abundant number, since it is smaller than the sum of its proper divisors (686702296).

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

685983104 is a wasteful number, since it uses less digits than its factorization.

685983104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23850 (or 23838 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The square root of 685983104 is about 26191.2791592927. The cubic root of 685983104 is about 881.9374941778.

The spelling of 685983104 in words is "six hundred eighty-five million, nine hundred eighty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 128 227 454 908 1816 3632 7264 14528 23609 29056 47218 94436 188872 377744 755488 1510976 3021952 5359243 10718486 21436972 42873944 85747888 171495776 342991552 685983104