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85972158 = 23313711621
BaseRepresentation
bin1010001111111…
…01010010111110
312222202211122000
411013331102332
5134002102113
612310403130
72062515456
oct507752276
9188684560
1085972158
1144590178
12249604a6
1314a717cc
14b5bcd66
157833373
hex51fd4be

85972158 has 32 divisors (see below), whose sum is σ = 192460320. Its totient is φ = 28445760.

The previous prime is 85972157. The next prime is 85972181. The reversal of 85972158 is 85127958.

It is a happy number.

85972158 is a `hidden beast` number, since 8 + 597 + 2 + 1 + 58 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85972151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1588 + ... + 13208.

It is an arithmetic number, because the mean of its divisors is an integer number (6014385).

Almost surely, 285972158 is an apocalyptic number.

85972158 is an abundant number, since it is smaller than the sum of its proper divisors (106488162).

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

85972158 is a wasteful number, since it uses less digits than its factorization.

85972158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11769 (or 11763 counting only the distinct ones).

The product of its digits is 201600, while the sum is 45.

The square root of 85972158 is about 9272.1172339439. The cubic root of 85972158 is about 441.3528574881.

The spelling of 85972158 in words is "eighty-five million, nine hundred seventy-two thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 137 274 411 822 1233 2466 3699 7398 11621 23242 34863 69726 104589 209178 313767 627534 1592077 3184154 4776231 9552462 14328693 28657386 42986079 85972158