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85610076 = 22343251661
BaseRepresentation
bin1010001101001…
…00111001011100
312222002102221120
411012210321130
5133404010301
612254530540
72056450026
oct506447134
9188072846
1085610076
1144363132
1224806a50
1314975a66
14b527016
1577b0e36
hex51a4e5c

85610076 has 48 divisors (see below), whose sum is σ = 205527168. Its totient is φ = 27720000.

The previous prime is 85610069. The next prime is 85610087. The reversal of 85610076 is 67001658.

It is a super-2 number, since 2×856100762 = 14658170225451552, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 129186 + ... + 129846.

It is an arithmetic number, because the mean of its divisors is an integer number (4281816).

Almost surely, 285610076 is an apocalyptic number.

85610076 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

85610076 is an abundant number, since it is smaller than the sum of its proper divisors (119917092).

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

85610076 is a wasteful number, since it uses less digits than its factorization.

85610076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 85610076 is about 9252.5713182877. The cubic root of 85610076 is about 440.7323821982.

The spelling of 85610076 in words is "eighty-five million, six hundred ten thousand, seventy-six".

Divisors: 1 2 3 4 6 12 43 86 129 172 251 258 502 516 661 753 1004 1322 1506 1983 2644 3012 3966 7932 10793 21586 28423 32379 43172 56846 64758 85269 113692 129516 165911 170538 331822 341076 497733 663644 995466 1990932 7134173 14268346 21402519 28536692 42805038 85610076