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86255532 = 223211673251
BaseRepresentation
bin1010010010000…
…10011110101100
320000022020100100
411021002132230
5134040134112
612320431100
72065105566
oct511023654
9200266310
1086255532
1144764070
1224a78490
1314b4079c
14b654336
15788c2dc
hex52427ac

86255532 has 72 divisors (see below), whose sum is σ = 241480512. Its totient is φ = 25740000.

The previous prime is 86255531. The next prime is 86255563. The reversal of 86255532 is 23555268.

It is a happy number.

86255532 is a `hidden beast` number, since 86 + 25 + 553 + 2 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (86255531) 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, 24907 + ... + 28157.

It is an arithmetic number, because the mean of its divisors is an integer number (3353896).

Almost surely, 286255532 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 86255532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120740256).

86255532 is an abundant number, since it is smaller than the sum of its proper divisors (155224980).

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

86255532 is a wasteful number, since it uses less digits than its factorization.

86255532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3339 (or 3334 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 86255532 is about 9287.3856385960. The cubic root of 86255532 is about 441.8372420684.

The spelling of 86255532 in words is "eighty-six million, two hundred fifty-five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 67 99 132 134 198 201 268 396 402 603 737 804 1206 1474 2211 2412 2948 3251 4422 6502 6633 8844 9753 13004 13266 19506 26532 29259 35761 39012 58518 71522 107283 117036 143044 214566 217817 321849 429132 435634 643698 653451 871268 1287396 1306902 1960353 2395987 2613804 3920706 4791974 7187961 7841412 9583948 14375922 21563883 28751844 43127766 86255532