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39117104 = 2413613083
BaseRepresentation
bin1001010100111…
…0000100110000
32201121100120122
42111032010300
540003221404
63514225412
7653330015
oct225160460
981540518
1039117104
1120098294
1211125268
138147a20
1452a370c
15367a3be
hex254e130

39117104 has 40 divisors (see below), whose sum is σ = 82984272. Its totient is φ = 17752320.

The previous prime is 39117083. The next prime is 39117121. The reversal of 39117104 is 40171193.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 11147 + ... + 14229.

Almost surely, 239117104 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 39117104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41492136).

39117104 is an abundant number, since it is smaller than the sum of its proper divisors (43867168).

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

39117104 is a wasteful number, since it uses less digits than its factorization.

39117104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3165 (or 3159 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 39117104 is about 6254.3667944885. The cubic root of 39117104 is about 339.4602277280.

Adding to 39117104 its reverse (40171193), we get a palindrome (79288297).

The spelling of 39117104 in words is "thirty-nine million, one hundred seventeen thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 52 61 104 122 208 244 488 793 976 1586 3083 3172 6166 6344 12332 12688 24664 40079 49328 80158 160316 188063 320632 376126 641264 752252 1504504 2444819 3009008 4889638 9779276 19558552 39117104