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104738656 = 25111491997
BaseRepresentation
bin1100011111000…
…10111101100000
321022002021102111
412033202331200
5203303114111
614220525104
72411156341
oct617427540
9238067374
10104738656
1154138780
122b0b0794
1318912649
14dca60c8
1592dda21
hex63e2f60

104738656 has 48 divisors (see below), whose sum is σ = 226573200. Its totient is φ = 47265280.

The previous prime is 104738651. The next prime is 104738657. The reversal of 104738656 is 656837401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104738651) 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, 51450 + ... + 53446.

It is an arithmetic number, because the mean of its divisors is an integer number (4720275).

Almost surely, 2104738656 is an apocalyptic number.

104738656 is a gapful number since it is divisible by the number (16) 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 104738656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113286600).

104738656 is an abundant number, since it is smaller than the sum of its proper divisors (121834544).

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

104738656 is a wasteful number, since it uses less digits than its factorization.

104738656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2167 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 104738656 is about 10234.1905395591. The cubic root of 104738656 is about 471.3776629972.

The spelling of 104738656 in words is "one hundred four million, seven hundred thirty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 149 176 298 352 596 1192 1639 1997 2384 3278 3994 4768 6556 7988 13112 15976 21967 26224 31952 43934 52448 63904 87868 175736 297553 351472 595106 702944 1190212 2380424 3273083 4760848 6546166 9521696 13092332 26184664 52369328 104738656