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85004816 = 2413408677
BaseRepresentation
bin1010001000100…
…01001000010000
312220221200200112
411010101020100
5133230123231
612233540452
72051346311
oct504211020
9186850615
1085004816
1143a8a416
1224574728
13147c3410
14b40a608
1576e192b
hex5111210

85004816 has 20 divisors (see below), whose sum is σ = 177366252. Its totient is φ = 39232896.

The previous prime is 85004813. The next prime is 85004819. The reversal of 85004816 is 61840058.

It is an interprime number because it is at equal distance from previous prime (85004813) and next prime (85004819).

It can be written as a sum of positive squares in 2 ways, for example, as 16777216 + 68227600 = 4096^2 + 8260^2 .

It is not an unprimeable number, because it can be changed into a prime (85004813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 204131 + ... + 204546.

Almost surely, 285004816 is an apocalyptic number.

It is an amenable number.

85004816 is an abundant number, since it is smaller than the sum of its proper divisors (92361436).

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

85004816 is a wasteful number, since it uses less digits than its factorization.

85004816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408698 (or 408692 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 85004816 is about 9219.8056378646. The cubic root of 85004816 is about 439.6912710322.

The spelling of 85004816 in words is "eighty-five million, four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 208 408677 817354 1634708 3269416 5312801 6538832 10625602 21251204 42502408 85004816