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104481888 = 2537181859
BaseRepresentation
bin1100011101001…
…00010001100000
321021121020012120
412032210101200
5203221410023
614211224240
72406036630
oct616442140
9237536176
10104481888
1153a82875
122aba8080
1318852804
14dc3a6c0
15928c8e3
hex63a4460

104481888 has 96 divisors (see below), whose sum is σ = 315544320. Its totient is φ = 29652480.

The previous prime is 104481887. The next prime is 104481917. The reversal of 104481888 is 888184401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104481887) 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, 121203 + ... + 122061.

It is an arithmetic number, because the mean of its divisors is an integer number (3286920).

Almost surely, 2104481888 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 104481888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157772160).

104481888 is an abundant number, since it is smaller than the sum of its proper divisors (211062432).

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

104481888 is a wasteful number, since it uses less digits than its factorization.

104481888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 42.

The square root of 104481888 is about 10221.6382248640. The cubic root of 104481888 is about 470.9921519061.

The spelling of 104481888 in words is "one hundred four million, four hundred eighty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 181 224 336 362 543 672 724 859 1086 1267 1448 1718 2172 2534 2577 2896 3436 3801 4344 5068 5154 5792 6013 6872 7602 8688 10136 10308 12026 13744 15204 17376 18039 20272 20616 24052 27488 30408 36078 40544 41232 48104 60816 72156 82464 96208 121632 144312 155479 192416 288624 310958 466437 577248 621916 932874 1088353 1243832 1865748 2176706 2487664 3265059 3731496 4353412 4975328 6530118 7462992 8706824 13060236 14925984 17413648 26120472 34827296 52240944 104481888