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85012092 = 2235117951
BaseRepresentation
bin1010001000100…
…10111001111100
312220222001200000
411010102321330
5133230341332
612234034300
72051406444
oct504227174
9186861600
1085012092
1143a94930
1224578990
13147c6819
14b40d124
1576e3b7c
hex5112e7c

85012092 has 72 divisors (see below), whose sum is σ = 243140352. Its totient is φ = 25758000.

The previous prime is 85012033. The next prime is 85012127. The reversal of 85012092 is 29021058.

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

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 23 ways as a sum of consecutive naturals, for example, 6717 + ... + 14667.

Almost surely, 285012092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85012092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121570176).

85012092 is an abundant number, since it is smaller than the sum of its proper divisors (158128260).

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

85012092 is a wasteful number, since it uses less digits than its factorization.

85012092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7981 (or 7967 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 85012092 is about 9220.2002147459. The cubic root of 85012092 is about 439.7038158211.

The spelling of 85012092 in words is "eighty-five million, twelve thousand, ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 891 972 1188 1782 2673 3564 5346 7951 10692 15902 23853 31804 47706 71559 87461 95412 143118 174922 214677 262383 286236 349844 429354 524766 644031 787149 858708 1049532 1288062 1574298 1932093 2361447 2576124 3148596 3864186 4722894 7084341 7728372 9445788 14168682 21253023 28337364 42506046 85012092