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65681352 = 233211127653
BaseRepresentation
bin1111101010001…
…1011111001000
311120120221212200
43322203133020
5113303300402
610303440200
71425165552
oct372433710
9146527780
1065681352
1134091410
1219bb6060
13107b8c09
148a1a4d2
155b7621c
hex3ea37c8

65681352 has 96 divisors (see below), whose sum is σ = 195886080. Its totient is φ = 19716480.

The previous prime is 65681333. The next prime is 65681359. The reversal of 65681352 is 25318656.

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 (65681359) 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, 100258 + ... + 100910.

It is an arithmetic number, because the mean of its divisors is an integer number (2040480).

Almost surely, 265681352 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 65681352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97943040).

65681352 is an abundant number, since it is smaller than the sum of its proper divisors (130204728).

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

65681352 is a wasteful number, since it uses less digits than its factorization.

65681352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 796 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 65681352 is about 8104.4032476179. The cubic root of 65681352 is about 403.4725823560.

The spelling of 65681352 in words is "sixty-five million, six hundred eighty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 127 132 198 254 264 381 396 508 653 762 792 1016 1143 1306 1397 1524 1959 2286 2612 2794 3048 3918 4191 4572 5224 5588 5877 7183 7836 8382 9144 11176 11754 12573 14366 15672 16764 21549 23508 25146 28732 33528 43098 47016 50292 57464 64647 82931 86196 100584 129294 165862 172392 248793 258588 331724 497586 517176 663448 746379 912241 995172 1492758 1824482 1990344 2736723 2985516 3648964 5473446 5971032 7297928 8210169 10946892 16420338 21893784 32840676 65681352