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86889528 = 233211313539
BaseRepresentation
bin1010010110111…
…01010000111000
320001111110000200
411023131100320
5134220431103
612342202200
72103356145
oct513352070
9201443020
1086889528
1145057430
1225123360
131500322b
14b77b3cc
1579650a3
hex52dd438

86889528 has 96 divisors (see below), whose sum is σ = 265075200. Its totient is φ = 25473600.

The previous prime is 86889521. The next prime is 86889557. The reversal of 86889528 is 82598868.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86889521) 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 23 ways as a sum of consecutive naturals, for example, 22783 + ... + 26321.

It is an arithmetic number, because the mean of its divisors is an integer number (2761200).

Almost surely, 286889528 is an apocalyptic number.

86889528 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86889528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132537600).

86889528 is an abundant number, since it is smaller than the sum of its proper divisors (178185672).

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

86889528 is a wasteful number, since it uses less digits than its factorization.

86889528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3593 (or 3586 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The square root of 86889528 is about 9321.4552511933. The cubic root of 86889528 is about 442.9171322729.

The spelling of 86889528 in words is "eighty-six million, eight hundred eighty-nine thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 31 33 36 44 62 66 72 88 93 99 124 132 186 198 248 264 279 341 372 396 558 682 744 792 1023 1116 1364 2046 2232 2728 3069 3539 4092 6138 7078 8184 10617 12276 14156 21234 24552 28312 31851 38929 42468 63702 77858 84936 109709 116787 127404 155716 219418 233574 254808 311432 329127 350361 438836 467148 658254 700722 877672 934296 987381 1206799 1316508 1401444 1974762 2413598 2633016 2802888 3620397 3949524 4827196 7240794 7899048 9654392 10861191 14481588 21722382 28963176 43444764 86889528