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104446688 = 2531211499
BaseRepresentation
bin1100011100110…
…11101011100000
321021112102220212
412032123223200
5203214243223
614210353252
72405532203
oct616335340
9237472825
10104446688
1153a59385
122ab8b828
131883c798
14dc2b93a
159282278
hex639bae0

104446688 has 48 divisors (see below), whose sum is σ = 213696000. Its totient is φ = 50198400.

The previous prime is 104446687. The next prime is 104446709. The reversal of 104446688 is 886644401.

It is a super-2 number, since 2×1044466882 = 21818221268338688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104446687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209063 + ... + 209561.

It is an arithmetic number, because the mean of its divisors is an integer number (4452000).

Almost surely, 2104446688 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 104446688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106848000).

104446688 is an abundant number, since it is smaller than the sum of its proper divisors (109249312).

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

104446688 is a wasteful number, since it uses less digits than its factorization.

104446688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The square root of 104446688 is about 10219.9162423182. The cubic root of 104446688 is about 470.9392534684.

The spelling of 104446688 in words is "one hundred four million, four hundred forty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 31 32 62 124 211 248 422 496 499 844 992 998 1688 1996 3376 3992 6541 6752 7984 13082 15469 15968 26164 30938 52328 61876 104656 105289 123752 209312 210578 247504 421156 495008 842312 1684624 3263959 3369248 6527918 13055836 26111672 52223344 104446688