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104591808 = 2632192503
BaseRepresentation
bin1100011101111…
…11000111000000
321021210210222200
412032333013000
5203233414213
614213433200
72410005246
oct616770700
9237723880
10104591808
1154048412
122b03b800
1318890859
14dc68796
1592b0273
hex63bf1c0

104591808 has 126 divisors (see below), whose sum is σ = 317031624. Its totient is φ = 32963328.

The previous prime is 104591807. The next prime is 104591819. The reversal of 104591808 is 808195401.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104591807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 207685 + ... + 208187.

It is an arithmetic number, because the mean of its divisors is an integer number (2516124).

Almost surely, 2104591808 is an apocalyptic number.

104591808 is a gapful number since it is divisible by the number (18) 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 104591808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158515812).

104591808 is an abundant number, since it is smaller than the sum of its proper divisors (212439816).

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

104591808 is a wasteful number, since it uses less digits than its factorization.

104591808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 104591808 is about 10227.0136403546. The cubic root of 104591808 is about 471.1572628600.

The spelling of 104591808 in words is "one hundred four million, five hundred ninety-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 361 456 503 576 608 684 722 912 1006 1083 1216 1368 1444 1509 1824 2012 2166 2736 2888 3018 3249 3648 4024 4332 4527 5472 5776 6036 6498 8048 8664 9054 9557 10944 11552 12072 12996 16096 17328 18108 19114 23104 24144 25992 28671 32192 34656 36216 38228 48288 51984 57342 69312 72432 76456 86013 96576 103968 114684 144864 152912 172026 181583 207936 229368 289728 305824 344052 363166 458736 544749 611648 688104 726332 917472 1089498 1376208 1452664 1634247 1834944 2178996 2752416 2905328 3268494 4357992 5504832 5810656 6536988 8715984 11621312 13073976 17431968 26147952 34863936 52295904 104591808