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86575696 = 2417714483
BaseRepresentation
bin1010010100100…
…00101001010000
320000220111112021
411022100221100
5134130410241
612331341224
72100611164
oct512205120
9200814467
1086575696
1144962669
1224bb1814
1314c2342c
14b6d8ca4
1579020d1
hex5290a50

86575696 has 40 divisors (see below), whose sum is σ = 180149184. Its totient is φ = 40158720.

The previous prime is 86575693. The next prime is 86575763. The reversal of 86575696 is 69657568.

It is a super-2 number, since 2×865756962 = 14990702275768832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86575693) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17071 + ... + 21553.

Almost surely, 286575696 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 86575696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90074592).

86575696 is an abundant number, since it is smaller than the sum of its proper divisors (93573488).

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

86575696 is a wasteful number, since it uses less digits than its factorization.

86575696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4579 (or 4573 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 52.

The square root of 86575696 is about 9304.6061711391. The cubic root of 86575696 is about 442.3832387944.

The spelling of 86575696 in words is "eighty-six million, five hundred seventy-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 17 34 68 71 136 142 272 284 568 1136 1207 2414 4483 4828 8966 9656 17932 19312 35864 71728 76211 152422 304844 318293 609688 636586 1219376 1273172 2546344 5092688 5410981 10821962 21643924 43287848 86575696