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104975052 = 223721331443
BaseRepresentation
bin1100100000111…
…00101011001100
321022112021200220
412100130223030
5203333200202
614225551340
72413162500
oct620345314
9238467626
10104975052
115428a346
122b1a5550
1318996120
14dd28300
159338abc
hex641cacc

104975052 has 144 divisors (see below), whose sum is σ = 317463552. Its totient is φ = 26732160.

The previous prime is 104975027. The next prime is 104975063. The reversal of 104975052 is 250579401.

It is a super-2 number, since 2×1049750522 = 22039523084805408, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236743 + ... + 237185.

It is an arithmetic number, because the mean of its divisors is an integer number (2204608).

Almost surely, 2104975052 is an apocalyptic number.

104975052 is a gapful number since it is divisible by the number (12) 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 104975052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158731776).

104975052 is an abundant number, since it is smaller than the sum of its proper divisors (212488500).

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

104975052 is a wasteful number, since it uses less digits than its factorization.

104975052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 104975052 is about 10245.7333558901. The cubic root of 104975052 is about 471.7320309357.

The spelling of 104975052 in words is "one hundred four million, nine hundred seventy-five thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 31 39 42 49 52 62 78 84 91 93 98 124 147 156 182 186 196 217 273 294 364 372 403 434 443 546 588 637 651 806 868 886 1092 1209 1274 1302 1329 1519 1612 1772 1911 2418 2548 2604 2658 2821 3038 3101 3822 4557 4836 5316 5642 5759 6076 6202 7644 8463 9114 9303 11284 11518 12404 13733 16926 17277 18228 18606 19747 21707 23036 27466 33852 34554 37212 39494 40313 41199 43414 54932 59241 65121 69108 78988 80626 82398 86828 96131 118482 120939 130242 161252 164796 178529 192262 236964 241878 260484 282191 288393 357058 384524 483756 535587 564382 576786 672917 714116 846573 1071174 1128764 1153572 1249703 1345834 1693146 2018751 2142348 2499406 2691668 3386292 3749109 4037502 4998812 7498218 8075004 8747921 14996436 17495842 26243763 34991684 52487526 104975052