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86055528 = 23313299511
BaseRepresentation
bin1010010000100…
…01101001101000
312222221001222210
411020101221220
5134012234103
612312245120
72063313516
oct510215150
9188831883
1086055528
1144637879
12249a07a0
1314aa0740
14b6014b6
15784ce03
hex5211a68

86055528 has 64 divisors (see below), whose sum is σ = 239702400. Its totient is φ = 25562880.

The previous prime is 86055527. The next prime is 86055533. The reversal of 86055528 is 82555068.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (86055523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4293 + ... + 13803.

It is an arithmetic number, because the mean of its divisors is an integer number (3745350).

Almost surely, 286055528 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 86055528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119851200).

86055528 is an abundant number, since it is smaller than the sum of its proper divisors (153646872).

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

86055528 is a wasteful number, since it uses less digits than its factorization.

86055528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9562 (or 9558 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 39.

The square root of 86055528 is about 9276.6118815007. The cubic root of 86055528 is about 441.4954761414.

The spelling of 86055528 in words is "eighty-six million, fifty-five thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 232 312 348 377 696 754 1131 1508 2262 3016 4524 9048 9511 19022 28533 38044 57066 76088 114132 123643 228264 247286 275819 370929 494572 551638 741858 827457 989144 1103276 1483716 1654914 2206552 2967432 3309828 3585647 6619656 7171294 10756941 14342588 21513882 28685176 43027764 86055528