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85640148 = 223211216263
BaseRepresentation
bin1010001101011…
…00001111010100
312222010222012100
411012230033110
5133410441043
612255322100
72056633506
oct506541724
9188128170
1085640148
1144383790
1224820330
1314986659
14b533d76
1577b9cd3
hex51ac3d4

85640148 has 36 divisors (see below), whose sum is σ = 236160288. Its totient is φ = 25951440.

The previous prime is 85640143. The next prime is 85640171. The reversal of 85640148 is 84104658.

85640148 is a `hidden beast` number, since 8 + 5 + 640 + 1 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85640143) 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 11 ways as a sum of consecutive naturals, for example, 107736 + ... + 108527.

It is an arithmetic number, because the mean of its divisors is an integer number (6560008).

Almost surely, 285640148 is an apocalyptic number.

It is an amenable number.

85640148 is an abundant number, since it is smaller than the sum of its proper divisors (150520140).

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

85640148 is a wasteful number, since it uses less digits than its factorization.

85640148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216284 (or 216279 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 85640148 is about 9254.1962373833. The cubic root of 85640148 is about 440.7839810802.

The spelling of 85640148 in words is "eighty-five million, six hundred forty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 216263 432526 648789 865052 1297578 1946367 2378893 2595156 3892734 4757786 7136679 7785468 9515572 14273358 21410037 28546716 42820074 85640148