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87499008 = 283312659
BaseRepresentation
bin1010011011100…
…10000100000000
320002122102002000
411031302010000
5134344432013
612403224000
72111505102
oct515620400
9202572060
1087499008
1145433333
1225378000
131518777c
14b899572
157a35973
hex5372100

87499008 has 72 divisors (see below), whose sum is σ = 258770400. Its totient is φ = 29164032.

The previous prime is 87499001. The next prime is 87499021. The reversal of 87499008 is 80099478.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (87499001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 583 + ... + 13241.

Almost surely, 287499008 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 87499008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129385200).

87499008 is an abundant number, since it is smaller than the sum of its proper divisors (171271392).

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

87499008 is a wasteful number, since it uses less digits than its factorization.

87499008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12684 (or 12664 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 87499008 is about 9354.0904421542. The cubic root of 87499008 is about 443.9503231492.

The spelling of 87499008 in words is "eighty-seven million, four hundred ninety-nine thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 12659 25318 37977 50636 75954 101272 113931 151908 202544 227862 303816 341793 405088 455724 607632 683586 810176 911448 1215264 1367172 1620352 1822896 2430528 2734344 3240704 3645792 4861056 5468688 7291584 9722112 10937376 14583168 21874752 29166336 43749504 87499008