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82716381 = 32112947613
BaseRepresentation
bin1001110111000…
…10011011011101
312202122102112200
410323202123131
5132133411011
612112522113
72023035426
oct473423335
9182572480
1082716381
1142767050
1223850339
13141a1907
14adb264d
1573dd856
hex4ee26dd

82716381 has 48 divisors (see below), whose sum is σ = 137928960. Its totient is φ = 47295360.

The previous prime is 82716343. The next prime is 82716383. The reversal of 82716381 is 18361728.

82716381 is a `hidden beast` number, since 8 + 271 + 6 + 381 = 666.

It is not a de Polignac number, because 82716381 - 210 = 82715357 is a prime.

It is a super-2 number, since 2×827163812 = 13683999371474322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82716383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134631 + ... + 135243.

It is an arithmetic number, because the mean of its divisors is an integer number (2873520).

Almost surely, 282716381 is an apocalyptic number.

It is an amenable number.

82716381 is a deficient number, since it is larger than the sum of its proper divisors (55212579).

82716381 is a wasteful number, since it uses less digits than its factorization.

82716381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 703 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 82716381 is about 9094.8546442480. The cubic root of 82716381 is about 435.7096462720.

The spelling of 82716381 in words is "eighty-two million, seven hundred sixteen thousand, three hundred eighty-one".

Divisors: 1 3 9 11 29 33 47 87 99 141 261 319 423 517 613 957 1363 1551 1839 2871 4089 4653 5517 6743 12267 14993 17777 20229 28811 44979 53331 60687 86433 134937 159993 195547 259299 316921 586641 835519 950763 1759923 2506557 2852289 7519671 9190709 27572127 82716381