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104697824 = 2571142491
BaseRepresentation
bin1100011110110…
…00111111100000
321022000012102012
412033120333200
5203300312244
614220012052
72410626320
oct617307740
9238005365
10104697824
1154110030
122b091028
13188c9b9a
14dc95280
1592d189e
hex63d8fe0

104697824 has 48 divisors (see below), whose sum is σ = 256991616. Its totient is φ = 40790400.

The previous prime is 104697799. The next prime is 104697877. The reversal of 104697824 is 428796401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18782 + ... + 23709.

It is an arithmetic number, because the mean of its divisors is an integer number (5353992).

Almost surely, 2104697824 is an apocalyptic number.

104697824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

104697824 is an abundant number, since it is smaller than the sum of its proper divisors (152293792).

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

104697824 is a wasteful number, since it uses less digits than its factorization.

104697824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42519 (or 42511 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 104697824 is about 10232.1954633402. The cubic root of 104697824 is about 471.3164000558.

The spelling of 104697824 in words is "one hundred four million, six hundred ninety-seven thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 42491 84982 169964 297437 339928 467401 594874 679856 934802 1189748 1359712 1869604 2379496 3271807 3739208 4758992 6543614 7478416 9517984 13087228 14956832 26174456 52348912 104697824