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85087008 = 2532295441
BaseRepresentation
bin1010001001001…
…01001100100000
312221002212102200
411010211030200
5133240241013
612235413200
72052141036
oct504451440
9187085380
1085087008
1144036146
12245b4200
1314821956
14b42c556
15770ae73
hex5125320

85087008 has 36 divisors (see below), whose sum is σ = 241966998. Its totient is φ = 28362240.

The previous prime is 85086983. The next prime is 85087019. The reversal of 85087008 is 80078058.

It can be written as a sum of positive squares in only one way, i.e., 57335184 + 27751824 = 7572^2 + 5268^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147433 + ... + 148008.

Almost surely, 285087008 is an apocalyptic number.

It is an amenable number.

85087008 is an abundant number, since it is smaller than the sum of its proper divisors (156879990).

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

85087008 is a wasteful number, since it uses less digits than its factorization.

85087008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295457 (or 295446 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 85087008 is about 9224.2619216932. The cubic root of 85087008 is about 439.8329393327.

The spelling of 85087008 in words is "eighty-five million, eighty-seven thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 295441 590882 886323 1181764 1772646 2363528 2658969 3545292 4727056 5317938 7090584 9454112 10635876 14181168 21271752 28362336 42543504 85087008