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104932608 = 2831112421
BaseRepresentation
bin1100100000100…
…10010100000000
321022110010110220
412100102110000
5203330320413
614225023040
72412624654
oct620222400
9238403426
10104932608
1154260470
122b184a80
131897ca01
14dd16a64
15932b223
hex6412500

104932608 has 72 divisors (see below), whose sum is σ = 304686816. Its totient is φ = 31795200.

The previous prime is 104932603. The next prime is 104932657. The reversal of 104932608 is 806239401.

It is a super-2 number, since 2×1049326082 = 22021704443363328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104932603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2238 + ... + 14658.

Almost surely, 2104932608 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 104932608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152343408).

104932608 is an abundant number, since it is smaller than the sum of its proper divisors (199754208).

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

104932608 is a wasteful number, since it uses less digits than its factorization.

104932608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12451 (or 12437 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 104932608 is about 10243.6618452583. The cubic root of 104932608 is about 471.6684447374.

The spelling of 104932608 in words is "one hundred four million, nine hundred thirty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 12421 24842 37263 49684 74526 99368 136631 149052 198736 273262 298104 397472 409893 546524 596208 794944 819786 1093048 1192416 1589888 1639572 2186096 2384832 3179776 3279144 4372192 4769664 6558288 8744384 9539328 13116576 17488768 26233152 34977536 52466304 104932608