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85900503 = 313313033
BaseRepresentation
bin1010001111010…
…11110011010111
312222122012100010
411013223303113
5133442304003
612305051303
72062066533
oct507536327
9188565303
1085900503
1144541357
1224926b33
1314a48000
14b5a0bc3
15781c003
hex51ebcd7

85900503 has 16 divisors (see below), whose sum is σ = 124083680. Its totient is φ = 52857792.

The previous prime is 85900481. The next prime is 85900513. The reversal of 85900503 is 30500958.

It is not a de Polignac number, because 85900503 - 212 = 85896407 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 (85900513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75 + ... + 13107.

It is an arithmetic number, because the mean of its divisors is an integer number (7755230).

Almost surely, 285900503 is an apocalyptic number.

85900503 is a deficient number, since it is larger than the sum of its proper divisors (38183177).

85900503 is a wasteful number, since it uses less digits than its factorization.

85900503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13075 (or 13049 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 85900503 is about 9268.2524242707. The cubic root of 85900503 is about 441.2302056514.

The spelling of 85900503 in words is "eighty-five million, nine hundred thousand, five hundred three".

Divisors: 1 3 13 39 169 507 2197 6591 13033 39099 169429 508287 2202577 6607731 28633501 85900503