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86639652 = 223311233313
BaseRepresentation
bin1010010101000…
…00010000100100
320001000202021000
411022200100210
5134134432102
612332553300
72101265511
oct512402044
9201022230
1086639652
11449a6720
1225022830
1314c46588
14b714308
15791601c
hex52a0424

86639652 has 96 divisors (see below), whose sum is σ = 246879360. Its totient is φ = 26058240.

The previous prime is 86639647. The next prime is 86639669. The reversal of 86639652 is 25693668.

It is a happy number.

86639652 is a `hidden beast` number, since 8 + 6 + 639 + 6 + 5 + 2 = 666.

It is a super-2 number, since 2×866396522 = 15012858597362208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86639598 and 86639607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276648 + ... + 276960.

It is an arithmetic number, because the mean of its divisors is an integer number (2571660).

Almost surely, 286639652 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 86639652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123439680).

86639652 is an abundant number, since it is smaller than the sum of its proper divisors (160239708).

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

86639652 is a wasteful number, since it uses less digits than its factorization.

86639652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 562 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 86639652 is about 9308.0423290830. The cubic root of 86639652 is about 442.4921457957.

The spelling of 86639652 in words is "eighty-six million, six hundred thirty-nine thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 233 297 313 396 466 594 626 699 932 939 1188 1252 1398 1878 2097 2563 2796 2817 3443 3756 4194 5126 5634 6291 6886 7689 8388 8451 10252 10329 11268 12582 13772 15378 16902 20658 23067 25164 30756 30987 33804 41316 46134 61974 69201 72929 92268 92961 123948 138402 145858 185922 218787 276804 291716 371844 437574 656361 802219 875148 1312722 1604438 1969083 2406657 2625444 3208876 3938166 4813314 7219971 7876332 9626628 14439942 21659913 28879884 43319826 86639652