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86513352 = 23359107571
BaseRepresentation
bin1010010100000…
…01011011001000
320000210100000020
411022001123020
5134121411402
612330140440
72100231342
oct512013310
9200710006
1086513352
114491a842
1224b81720
1314c00c43
14b6c0292
1578dd8bc
hex52816c8

86513352 has 64 divisors (see below), whose sum is σ = 222393600. Its totient is φ = 28034880.

The previous prime is 86513347. The next prime is 86513353. The reversal of 86513352 is 25331568.

It is not an unprimeable number, because it can be changed into a prime (86513353) 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, 151227 + ... + 151797.

It is an arithmetic number, because the mean of its divisors is an integer number (3474900).

Almost surely, 286513352 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 86513352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111196800).

86513352 is an abundant number, since it is smaller than the sum of its proper divisors (135880248).

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

86513352 is a wasteful number, since it uses less digits than its factorization.

86513352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 742 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 86513352 is about 9301.2553991383. The cubic root of 86513352 is about 442.2770251387.

The spelling of 86513352 in words is "eighty-six million, five hundred thirteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 59 107 118 177 214 236 321 354 428 472 571 642 708 856 1142 1284 1416 1713 2284 2568 3426 4568 6313 6852 12626 13704 18939 25252 33689 37878 50504 61097 67378 75756 101067 122194 134756 151512 183291 202134 244388 269512 366582 404268 488776 733164 808536 1466328 3604723 7209446 10814169 14418892 21628338 28837784 43256676 86513352