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86497752 = 233111033181
BaseRepresentation
bin1010010011111…
…01100111011000
320000202112121110
411021331213120
5134120412002
612325540320
72100135015
oct511754730
9200675543
1086497752
114490a050
1224b746a0
1314bc6b03
14b6b870c
1578d8e6c
hex527d9d8

86497752 has 64 divisors (see below), whose sum is σ = 238268160. Its totient is φ = 25948800.

The previous prime is 86497721. The next prime is 86497769. The reversal of 86497752 is 25779468.

It is a super-2 number, since 2×864977522 = 14963722202107008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25602 + ... + 28782.

It is an arithmetic number, because the mean of its divisors is an integer number (3722940).

Almost surely, 286497752 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 86497752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119134080).

86497752 is an abundant number, since it is smaller than the sum of its proper divisors (151770408).

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

86497752 is a wasteful number, since it uses less digits than its factorization.

86497752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 3300 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 86497752 is about 9300.4167648552. The cubic root of 86497752 is about 442.2504398923.

The spelling of 86497752 in words is "eighty-six million, four hundred ninety-seven thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 103 132 206 264 309 412 618 824 1133 1236 2266 2472 3181 3399 4532 6362 6798 9064 9543 12724 13596 19086 25448 27192 34991 38172 69982 76344 104973 139964 209946 279928 327643 419892 655286 839784 982929 1310572 1965858 2621144 3604073 3931716 7208146 7863432 10812219 14416292 21624438 28832584 43248876 86497752