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85121652 = 223711175419
BaseRepresentation
bin1010001001011…
…01101001110100
312221011121221210
411010231221310
5133242343102
612240241420
72052344040
oct504555164
9187147853
1085121652
114405a180
1224610270
1314834655
14b43b020
15771636c
hex512da74

85121652 has 96 divisors (see below), whose sum is σ = 262241280. Its totient is φ = 20805120.

The previous prime is 85121651. The next prime is 85121677. The reversal of 85121652 is 25612158.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85121651) 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, 12999 + ... + 18417.

It is an arithmetic number, because the mean of its divisors is an integer number (2731680).

Almost surely, 285121652 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 85121652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131120640).

85121652 is an abundant number, since it is smaller than the sum of its proper divisors (177119628).

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

85121652 is a wasteful number, since it uses less digits than its factorization.

85121652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5461 (or 5459 counting only the distinct ones).

The product of its digits is 4800, while the sum is 30.

The square root of 85121652 is about 9226.1396044066. The cubic root of 85121652 is about 439.8926253143.

The spelling of 85121652 in words is "eighty-five million, one hundred twenty-one thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 51 66 68 77 84 102 119 132 154 187 204 231 238 308 357 374 462 476 561 714 748 924 1122 1309 1428 2244 2618 3927 5236 5419 7854 10838 15708 16257 21676 32514 37933 59609 65028 75866 92123 113799 119218 151732 178827 184246 227598 238436 276369 357654 368492 417263 455196 552738 644861 715308 834526 1013353 1105476 1251789 1289722 1669052 1934583 2026706 2503578 2579444 3040059 3869166 4053412 5007156 6080118 7093471 7738332 12160236 14186942 21280413 28373884 42560826 85121652