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104286888 = 23321499721
BaseRepresentation
bin1100011011101…
…00101010101000
321021020022201100
412031310222220
5203144140023
614203121400
72404265256
oct615645250
9237208640
10104286888
115395a312
122ab13260
13187b4b24
14dbc95d6
15924ec43
hex6374aa8

104286888 has 48 divisors (see below), whose sum is σ = 284368500. Its totient is φ = 34525440.

The previous prime is 104286887. The next prime is 104286893. The reversal of 104286888 is 888682401.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 77475204 + 26811684 = 8802^2 + 5178^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (104286887) by changing a digit.

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, 5868 + ... + 15588.

Almost surely, 2104286888 is an apocalyptic number.

104286888 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 104286888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142184250).

104286888 is an abundant number, since it is smaller than the sum of its proper divisors (180081612).

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

104286888 is a wasteful number, since it uses less digits than its factorization.

104286888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9882 (or 9875 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 104286888 is about 10212.0951816951. The cubic root of 104286888 is about 470.6989570180.

The spelling of 104286888 in words is "one hundred four million, two hundred eighty-six thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 149 298 447 596 894 1192 1341 1788 2682 3576 5364 9721 10728 19442 29163 38884 58326 77768 87489 116652 174978 233304 349956 699912 1448429 2896858 4345287 5793716 8690574 11587432 13035861 17381148 26071722 34762296 52143444 104286888