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104588384 = 2529432621
BaseRepresentation
bin1100011101111…
…10010001100000
321021210122021212
412032332101200
5203233312014
614213405252
72406662255
oct616762140
9237718255
10104588384
115404588a
122b039828
131888c124
14dc6742c
1592ae23e
hex63be460

104588384 has 48 divisors (see below), whose sum is σ = 218045520. Its totient is φ = 49297920.

The previous prime is 104588377. The next prime is 104588411. The reversal of 104588384 is 483885401.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 38594 + ... + 41214.

It is an arithmetic number, because the mean of its divisors is an integer number (4542615).

Almost surely, 2104588384 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 104588384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109022760).

104588384 is an abundant number, since it is smaller than the sum of its proper divisors (113457136).

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

104588384 is a wasteful number, since it uses less digits than its factorization.

104588384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 41.

The square root of 104588384 is about 10226.8462391883. The cubic root of 104588384 is about 471.1521214118.

The spelling of 104588384 in words is "one hundred four million, five hundred eighty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 29 32 43 58 86 116 172 232 344 464 688 928 1247 1376 2494 2621 4988 5242 9976 10484 19952 20968 39904 41936 76009 83872 112703 152018 225406 304036 450812 608072 901624 1216144 1803248 2432288 3268387 3606496 6536774 13073548 26147096 52294192 104588384