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104482350 = 23252741809
BaseRepresentation
bin1100011101001…
…00011000101110
321021121020211200
412032210120232
5203221413400
614211230330
72406041160
oct616443056
9237536750
10104482350
1153a83155
122aba83a6
1318852a9b
14dc3a930
15928cb00
hex63a462e

104482350 has 144 divisors (see below), whose sum is σ = 329041440. Its totient is φ = 23270400.

The previous prime is 104482327. The next prime is 104482361. The reversal of 104482350 is 53284401.

It is a super-2 number, since 2×1044823502 = 21833122923045000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 128746 + ... + 129554.

It is an arithmetic number, because the mean of its divisors is an integer number (2285010).

Almost surely, 2104482350 is an apocalyptic number.

104482350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104482350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164520720).

104482350 is an abundant number, since it is smaller than the sum of its proper divisors (224559090).

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

104482350 is a wasteful number, since it uses less digits than its factorization.

104482350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 104482350 is about 10221.6608239562. The cubic root of 104482350 is about 470.9928461190.

The spelling of 104482350 in words is "one hundred four million, four hundred eighty-two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 41 42 45 50 63 70 75 82 90 105 123 126 150 175 205 210 225 246 287 315 350 369 410 450 525 574 615 630 738 809 861 1025 1050 1230 1435 1575 1618 1722 1845 2050 2427 2583 2870 3075 3150 3690 4045 4305 4854 5166 5663 6150 7175 7281 8090 8610 9225 11326 12135 12915 14350 14562 16989 18450 20225 21525 24270 25830 28315 33169 33978 36405 40450 43050 50967 56630 60675 64575 66338 72810 84945 99507 101934 121350 129150 141575 165845 169890 182025 199014 232183 254835 283150 298521 331690 364050 424725 464366 497535 509670 597042 696549 829225 849450 995070 1160915 1274175 1393098 1492605 1658450 2089647 2321830 2487675 2548350 2985210 3482745 4179294 4975350 5804575 6965490 7463025 10448235 11609150 14926050 17413725 20896470 34827450 52241175 104482350