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85200807 = 31910331447
BaseRepresentation
bin1010001010000…
…00111110100111
312221022122112110
411011000332213
5133302411212
612242052103
72053123566
oct505007647
9187278473
1085200807
114410369a
122464a033
13148616a3
14b45bbdd
15772ea3c
hex5140fa7

85200807 has 16 divisors (see below), whose sum is σ = 119778560. Its totient is φ = 53721792.

The previous prime is 85200793. The next prime is 85200827. The reversal of 85200807 is 70800258.

It is not a de Polignac number, because 85200807 - 26 = 85200743 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85200827) 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 15 ways as a sum of consecutive naturals, for example, 58158 + ... + 59604.

It is an arithmetic number, because the mean of its divisors is an integer number (7486160).

Almost surely, 285200807 is an apocalyptic number.

85200807 is a deficient number, since it is larger than the sum of its proper divisors (34577753).

85200807 is a wasteful number, since it uses less digits than its factorization.

85200807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502.

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 85200807 is about 9230.4283215894. The cubic root of 85200807 is about 440.0289357692.

The spelling of 85200807 in words is "eighty-five million, two hundred thousand, eight hundred seven".

Divisors: 1 3 19 57 1033 1447 3099 4341 19627 27493 58881 82479 1494751 4484253 28400269 85200807