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85218315 = 35713149419
BaseRepresentation
bin1010001010001…
…01010000001011
312221100112112220
411011011100023
5133303441230
612242305123
72053225620
oct505052013
9187315486
1085218315
1144115866
12246581a3
1314869650
14b464347
157734d10
hex514540b

85218315 has 64 divisors (see below), whose sum is σ = 169344000. Its totient is φ = 35633664.

The previous prime is 85218313. The next prime is 85218359. The reversal of 85218315 is 51381258.

It is a happy number.

It is not a de Polignac number, because 85218315 - 21 = 85218313 is a prime.

It is a super-2 number, since 2×852183152 = 14524322422878450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85218313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 203176 + ... + 203594.

It is an arithmetic number, because the mean of its divisors is an integer number (2646000).

Almost surely, 285218315 is an apocalyptic number.

85218315 is a deficient number, since it is larger than the sum of its proper divisors (84125685).

85218315 is a wasteful number, since it uses less digits than its factorization.

85218315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596.

The product of its digits is 9600, while the sum is 33.

The square root of 85218315 is about 9231.3766578989. The cubic root of 85218315 is about 440.0590743686.

It can be divided in two parts, 8521 and 8315, that added together give a triangular number (16836 = T183).

The spelling of 85218315 in words is "eighty-five million, two hundred eighteen thousand, three hundred fifteen".

Divisors: 1 3 5 7 13 15 21 35 39 65 91 105 149 195 273 419 447 455 745 1043 1257 1365 1937 2095 2235 2933 3129 5215 5447 5811 6285 8799 9685 13559 14665 15645 16341 27235 29055 38129 40677 43995 62431 67795 81705 114387 187293 190645 203385 312155 437017 571935 811603 936465 1311051 2185085 2434809 4058015 5681221 6555255 12174045 17043663 28406105 85218315