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104972496 = 2436193533
BaseRepresentation
bin1100100000111…
…00000011010000
321022112011012020
412100130003100
5203333104441
614225531440
72413152156
oct620340320
9238464166
10104972496
1154288432
122b1a3b80
1318994c05
14dd273d6
159337e66
hex641c0d0

104972496 has 40 divisors (see below), whose sum is σ = 271693920. Its totient is φ = 34924416.

The previous prime is 104972477. The next prime is 104972509. The reversal of 104972496 is 694279401.

It is a super-2 number, since 2×1049724962 = 22038449832940032, which contains 22 as substring.

It is a congruent number.

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, 27946 + ... + 31478.

It is an arithmetic number, because the mean of its divisors is an integer number (6792348).

Almost surely, 2104972496 is an apocalyptic number.

104972496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

104972496 is an abundant number, since it is smaller than the sum of its proper divisors (166721424).

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

104972496 is a wasteful number, since it uses less digits than its factorization.

104972496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4163 (or 4157 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 104972496 is about 10245.6086202822. The cubic root of 104972496 is about 471.7282022265.

The spelling of 104972496 in words is "one hundred four million, nine hundred seventy-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 619 1238 1857 2476 3533 3714 4952 7066 7428 9904 10599 14132 14856 21198 28264 29712 42396 56528 84792 169584 2186927 4373854 6560781 8747708 13121562 17495416 26243124 34990832 52486248 104972496