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86533296 = 24319239397
BaseRepresentation
bin1010010100001…
…10010010110000
320000211100100220
411022012102300
5134123031141
612330413040
72100343443
oct512062260
9200740326
1086533296
1144933823
1224b91180
1314c0a045
14b6c765a
1578e4766
hex52864b0

86533296 has 80 divisors (see below), whose sum is σ = 236889600. Its totient is φ = 27143424.

The previous prime is 86533289. The next prime is 86533297. The reversal of 86533296 is 69233568.

It is a super-2 number, since 2×865332962 = 14976022633247232, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86533297) 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, 217770 + ... + 218166.

It is an arithmetic number, because the mean of its divisors is an integer number (2961120).

Almost surely, 286533296 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 86533296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118444800).

86533296 is an abundant number, since it is smaller than the sum of its proper divisors (150356304).

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

86533296 is a wasteful number, since it uses less digits than its factorization.

86533296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 660 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The square root of 86533296 is about 9302.3274506975. The cubic root of 86533296 is about 442.3110086995.

The spelling of 86533296 in words is "eighty-six million, five hundred thirty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 239 304 397 456 478 717 794 912 956 1191 1434 1588 1912 2382 2868 3176 3824 4541 4764 5736 6352 7543 9082 9528 11472 13623 15086 18164 19056 22629 27246 30172 36328 45258 54492 60344 72656 90516 94883 108984 120688 181032 189766 217968 284649 362064 379532 569298 759064 1138596 1518128 1802777 2277192 3605554 4554384 5408331 7211108 10816662 14422216 21633324 28844432 43266648 86533296