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104579328 = 28373397
BaseRepresentation
bin1100011101111…
…00000100000000
321021210011212110
412032330010000
5203233014303
614213255320
72406624000
oct616740400
9237704773
10104579328
1154039aa7
122b034540
1318887c79
14dc64000
1592ab703
hex63bc100

104579328 has 144 divisors (see below), whose sum is σ = 325404800. Its totient is φ = 29804544.

The previous prime is 104579323. The next prime is 104579369. The reversal of 104579328 is 823975401.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (104579323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263226 + ... + 263622.

Almost surely, 2104579328 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 104579328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162702400).

104579328 is an abundant number, since it is smaller than the sum of its proper divisors (220825472).

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

104579328 is an frugal number, since it uses more digits than its factorization.

104579328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 104579328 is about 10226.4034733625. The cubic root of 104579328 is about 471.1385224613.

The spelling of 104579328 in words is "one hundred four million, five hundred seventy-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 343 384 392 397 448 588 672 686 768 784 794 896 1029 1176 1191 1344 1372 1568 1588 1792 2058 2352 2382 2688 2744 2779 3136 3176 4116 4704 4764 5376 5488 5558 6272 6352 8232 8337 9408 9528 10976 11116 12544 12704 16464 16674 18816 19056 19453 21952 22232 25408 32928 33348 37632 38112 38906 43904 44464 50816 58359 65856 66696 76224 77812 87808 88928 101632 116718 131712 133392 136171 152448 155624 177856 233436 263424 266784 272342 304896 311248 355712 408513 466872 533568 544684 622496 711424 817026 933744 1067136 1089368 1244992 1634052 1867488 2134272 2178736 2489984 3268104 3734976 4357472 4979968 6536208 7469952 8714944 13072416 14939904 17429888 26144832 34859776 52289664 104579328