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85190496 = 253887401
BaseRepresentation
bin1010001001111…
…10011101100000
312221022010101120
411010332131200
5133302043441
612241532240
72053051536
oct504763540
9187263346
1085190496
11440a6976
1224644080
1314859aa1
14b458156
15772b966
hex513e760

85190496 has 24 divisors (see below), whose sum is σ = 223625304. Its totient is φ = 28396800.

The previous prime is 85190491. The next prime is 85190503. The reversal of 85190496 is 69409158.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85190491) 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 3 ways as a sum of consecutive naturals, for example, 443605 + ... + 443796.

It is an arithmetic number, because the mean of its divisors is an integer number (9317721).

Almost surely, 285190496 is an apocalyptic number.

It is an amenable number.

85190496 is an abundant number, since it is smaller than the sum of its proper divisors (138434808).

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

85190496 is a wasteful number, since it uses less digits than its factorization.

85190496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887414 (or 887406 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 85190496 is about 9229.8697715623. The cubic root of 85190496 is about 440.0111842887.

The spelling of 85190496 in words is "eighty-five million, one hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 887401 1774802 2662203 3549604 5324406 7099208 10648812 14198416 21297624 28396832 42595248 85190496