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85515345 = 36529809
BaseRepresentation
bin1010001100011…
…01110001010001
312221220122000000
411012031301101
5133342442340
612252520213
72055603606
oct506156121
9187818000
1085515345
11442a8a43
1224780069
13149418c6
14b5006ad
157792d30
hex518dc51

85515345 has 56 divisors (see below), whose sum is σ = 159359400. Its totient is φ = 43981056.

The previous prime is 85515343. The next prime is 85515361. The reversal of 85515345 is 54351558.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 23357889 + 62157456 = 4833^2 + 7884^2 .

It is not a de Polignac number, because 85515345 - 21 = 85515343 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (85515343) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 105301 + ... + 106109.

Almost surely, 285515345 is an apocalyptic number.

It is an amenable number.

85515345 is a deficient number, since it is larger than the sum of its proper divisors (73844055).

85515345 is an equidigital number, since it uses as much as digits as its factorization.

85515345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 846 counting only the distinct ones).

The product of its digits is 60000, while the sum is 36.

The square root of 85515345 is about 9247.4507297958. The cubic root of 85515345 is about 440.5697594850.

The spelling of 85515345 in words is "eighty-five million, five hundred fifteen thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 27 29 45 81 87 135 145 243 261 405 435 729 783 809 1215 1305 2349 2427 3645 3915 4045 7047 7281 11745 12135 21141 21843 23461 35235 36405 65529 70383 105705 109215 117305 196587 211149 327645 351915 589761 633447 982935 1055745 1900341 2948805 3167235 5701023 9501705 17103069 28505115 85515345