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85624065 = 3251902757
BaseRepresentation
bin1010001101010…
…00010100000001
312222010011010200
411012220110001
5133404432230
612255115413
72056535562
oct506502401
9188104120
1085624065
114437269a
1224812b69
131497c237
14b52c169
1577b5160
hex51a8501

85624065 has 12 divisors (see below), whose sum is σ = 148415124. Its totient is φ = 45666144.

The previous prime is 85624061. The next prime is 85624067. The reversal of 85624065 is 56042658.

It can be written as a sum of positive squares in 2 ways, for example, as 48316401 + 37307664 = 6951^2 + 6108^2 .

It is not a de Polignac number, because 85624065 - 22 = 85624061 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85624061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 951334 + ... + 951423.

It is an arithmetic number, because the mean of its divisors is an integer number (12367927).

Almost surely, 285624065 is an apocalyptic number.

It is an amenable number.

85624065 is a deficient number, since it is larger than the sum of its proper divisors (62791059).

85624065 is a wasteful number, since it uses less digits than its factorization.

85624065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902768 (or 1902765 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 85624065 is about 9253.3272394312. The cubic root of 85624065 is about 440.7563866526.

The spelling of 85624065 in words is "eighty-five million, six hundred twenty-four thousand, sixty-five".

Divisors: 1 3 5 9 15 45 1902757 5708271 9513785 17124813 28541355 85624065