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85335075 = 3252754181
BaseRepresentation
bin1010001011000…
…01110000100011
312221120110201100
411011201300203
5133321210300
612245005443
72054223210
oct505416043
9187513640
1085335075
1144195561
12246b3883
13148aa837
14b494b07
157759700
hex5161c23

85335075 has 36 divisors (see below), whose sum is σ = 174682768. Its totient is φ = 39009600.

The previous prime is 85335073. The next prime is 85335077. The reversal of 85335075 is 57053358.

85335075 is a `hidden beast` number, since 8 + 533 + 50 + 75 = 666.

It is an interprime number because it is at equal distance from previous prime (85335073) and next prime (85335077).

It is not a de Polignac number, because 85335075 - 21 = 85335073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85335073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25516 + ... + 28665.

Almost surely, 285335075 is an apocalyptic number.

85335075 is an abundant number, since it is smaller than the sum of its proper divisors (89347693).

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

85335075 is a wasteful number, since it uses less digits than its factorization.

85335075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54204 (or 54196 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 85335075 is about 9237.6985770266. The cubic root of 85335075 is about 440.2599617367.

The spelling of 85335075 in words is "eighty-five million, three hundred thirty-five thousand, seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 525 1575 54181 162543 270905 379267 487629 812715 1137801 1354525 1896335 2438145 3413403 4063575 5689005 9481675 12190725 17067015 28445025 85335075