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85211082 = 23311167859
BaseRepresentation
bin1010001010000…
…11011111001010
312221100011122000
411011003133022
5133303223312
612242211430
72053165545
oct505033712
9187304560
1085211082
1144110390
1224653b76
1314866278
14b46185c
157732adc
hex51437ca

85211082 has 64 divisors (see below), whose sum is σ = 208051200. Its totient is φ = 25637040.

The previous prime is 85211081. The next prime is 85211099. The reversal of 85211082 is 28011258.

It is a super-2 number, since 2×852110822 = 14521856991221448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85211081) 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 31 ways as a sum of consecutive naturals, for example, 98769 + ... + 99627.

It is an arithmetic number, because the mean of its divisors is an integer number (3250800).

Almost surely, 285211082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85211082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104025600).

85211082 is an abundant number, since it is smaller than the sum of its proper divisors (122840118).

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

85211082 is a wasteful number, since it uses less digits than its factorization.

85211082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 85211082 is about 9230.9848878654. The cubic root of 85211082 is about 440.0466238473.

The spelling of 85211082 in words is "eighty-five million, two hundred eleven thousand, eighty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 167 198 297 334 501 594 859 1002 1503 1718 1837 2577 3006 3674 4509 5154 5511 7731 9018 9449 11022 15462 16533 18898 23193 28347 33066 46386 49599 56694 85041 99198 143453 170082 255123 286906 430359 510246 860718 1291077 1577983 2582154 3155966 3873231 4733949 7746462 9467898 14201847 28403694 42605541 85211082