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104453568 = 2632414423
BaseRepresentation
bin1100011100111…
…01010111000000
321021112210100200
412032131113000
5203220003233
614210445200
72405561232
oct616352700
9237483320
10104453568
1153a6356a
122ab93800
131884295b
14dc30252
159284313
hex639d5c0

104453568 has 84 divisors (see below), whose sum is σ = 306769008. Its totient is φ = 33960960.

The previous prime is 104453551. The next prime is 104453597. The reversal of 104453568 is 865354401.

It is a happy number.

104453568 is a `hidden beast` number, since 1 + 0 + 44 + 53 + 568 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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 11 ways as a sum of consecutive naturals, for example, 21405 + ... + 25827.

It is an arithmetic number, because the mean of its divisors is an integer number (3652012).

Almost surely, 2104453568 is an apocalyptic number.

104453568 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 104453568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153384504).

104453568 is an abundant number, since it is smaller than the sum of its proper divisors (202315440).

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

104453568 is a wasteful number, since it uses less digits than its factorization.

104453568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4482 (or 4469 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 104453568 is about 10220.2528344459. The cubic root of 104453568 is about 470.9495936429.

The spelling of 104453568 in words is "one hundred four million, four hundred fifty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 144 164 192 246 288 328 369 492 576 656 738 984 1312 1476 1968 2624 2952 3936 4423 5904 7872 8846 11808 13269 17692 23616 26538 35384 39807 53076 70768 79614 106152 141536 159228 181343 212304 283072 318456 362686 424608 544029 636912 725372 849216 1088058 1273824 1450744 1632087 2176116 2547648 2901488 3264174 4352232 5802976 6528348 8704464 11605952 13056696 17408928 26113392 34817856 52226784 104453568