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104445792 = 25321132969
BaseRepresentation
bin1100011100110…
…11011101100000
321021112101200200
412032123131200
5203214231132
614210345200
72405526453
oct616333540
9237471620
10104445792
1153a58740
122ab8b200
131883c259
14dc2b49a
159281d7c
hex639b760

104445792 has 72 divisors (see below), whose sum is σ = 324029160. Its totient is φ = 31649280.

The previous prime is 104445767. The next prime is 104445827. The reversal of 104445792 is 297544401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13317 + ... + 19652.

It is an arithmetic number, because the mean of its divisors is an integer number (4500405).

Almost surely, 2104445792 is an apocalyptic number.

104445792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104445792 is an abundant number, since it is smaller than the sum of its proper divisors (219583368).

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

104445792 is a wasteful number, since it uses less digits than its factorization.

104445792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32996 (or 32985 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 104445792 is about 10219.8724062485. The cubic root of 104445792 is about 470.9379068076.

The spelling of 104445792 in words is "one hundred four million, four hundred forty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 32969 65938 98907 131876 197814 263752 296721 362659 395628 527504 593442 725318 791256 1055008 1087977 1186884 1450636 1582512 2175954 2373768 2901272 3165024 3263931 4351908 4747536 5802544 6527862 8703816 9495072 11605088 13055724 17407632 26111448 34815264 52222896 104445792