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85607319 = 377355843
BaseRepresentation
bin1010001101001…
…00001110010111
312222002022011110
411012210032113
5133403413234
612254510103
72056436010
oct506441627
9188068143
1085607319
1144361056
1224805333
1314974725
14b526007
1577b01e9
hex51a4397

85607319 has 16 divisors (see below), whose sum is σ = 132238592. Its totient is φ = 48247488.

The previous prime is 85607309. The next prime is 85607341. The reversal of 85607319 is 91370658.

It is not a de Polignac number, because 85607319 - 28 = 85607063 is a prime.

It is a super-2 number, since 2×856073192 = 14657226132735522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85607309) 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, 26389 + ... + 29454.

It is an arithmetic number, because the mean of its divisors is an integer number (8264912).

Almost surely, 285607319 is an apocalyptic number.

85607319 is a deficient number, since it is larger than the sum of its proper divisors (46631273).

85607319 is a wasteful number, since it uses less digits than its factorization.

85607319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55926.

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 85607319 is about 9252.4223314762. The cubic root of 85607319 is about 440.7276510097.

The spelling of 85607319 in words is "eighty-five million, six hundred seven thousand, three hundred nineteen".

Divisors: 1 3 7 21 73 219 511 1533 55843 167529 390901 1172703 4076539 12229617 28535773 85607319