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104418792 = 233229431163
BaseRepresentation
bin1100011100101…
…00110111101000
321021111000122200
412032110313220
5203212400132
614210020200
72405354652
oct616246750
9237430580
10104418792
1153a3a425
122ab77660
131882cb8a
14dc216d2
159278d7c
hex6394de8

104418792 has 96 divisors (see below), whose sum is σ = 299613600. Its totient is φ = 32796288.

The previous prime is 104418779. The next prime is 104418799. The reversal of 104418792 is 297814401.

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

It is not an unprimeable number, because it can be changed into a prime (104418799) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89203 + ... + 90365.

It is an arithmetic number, because the mean of its divisors is an integer number (3120975).

Almost surely, 2104418792 is an apocalyptic number.

104418792 is a gapful number since it is divisible by the number (12) 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 104418792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149806800).

104418792 is an abundant number, since it is smaller than the sum of its proper divisors (195194808).

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

104418792 is a wasteful number, since it uses less digits than its factorization.

104418792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 104418792 is about 10218.5513650419. The cubic root of 104418792 is about 470.8973230143.

The spelling of 104418792 in words is "one hundred four million, four hundred eighteen thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 43 58 72 86 87 116 129 172 174 232 258 261 344 348 387 516 522 696 774 1032 1044 1163 1247 1548 2088 2326 2494 3096 3489 3741 4652 4988 6978 7482 9304 9976 10467 11223 13956 14964 20934 22446 27912 29928 33727 41868 44892 50009 67454 83736 89784 100018 101181 134908 150027 200036 202362 269816 300054 303543 400072 404724 450081 600108 607086 809448 900162 1200216 1214172 1450261 1800324 2428344 2900522 3600648 4350783 5801044 8701566 11602088 13052349 17403132 26104698 34806264 52209396 104418792