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85218156 = 2235731201
BaseRepresentation
bin1010001010001…
…01001101101100
312221100112100000
411011011031230
5133303440111
612242304300
72053225302
oct505051554
9187315300
1085218156
1144115731
1224658090
131486955a
14b464272
157734c56
hex514536c

85218156 has 72 divisors (see below), whose sum is σ = 226639504. Its totient is φ = 27993600.

The previous prime is 85218149. The next prime is 85218157. The reversal of 85218156 is 65181258.

85218156 is a `hidden beast` number, since 8 + 521 + 81 + 56 = 666.

It is a super-2 number, since 2×852181562 = 14524268224080672, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 85218156.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85218157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70356 + ... + 71556.

Almost surely, 285218156 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 85218156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113319752).

85218156 is an abundant number, since it is smaller than the sum of its proper divisors (141421348).

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

85218156 is a wasteful number, since it uses less digits than its factorization.

85218156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1279 counting only the distinct ones).

The product of its digits is 19200, while the sum is 36.

The square root of 85218156 is about 9231.3680459616. The cubic root of 85218156 is about 440.0588006816.

The spelling of 85218156 in words is "eighty-five million, two hundred eighteen thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 108 146 162 219 243 292 324 438 486 657 876 972 1201 1314 1971 2402 2628 3603 3942 4804 5913 7206 7884 10809 11826 14412 17739 21618 23652 32427 35478 43236 64854 70956 87673 97281 129708 175346 194562 263019 291843 350692 389124 526038 583686 789057 1052076 1167372 1578114 2367171 3156228 4734342 7101513 9468684 14203026 21304539 28406052 42609078 85218156