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82689860 = 22511438741
BaseRepresentation
bin1001110110110…
…11111101000100
312202121002011102
410323123331010
5132132033420
612112155232
72022565211
oct473337504
9182532142
1082689860
1142749130
1223838b18
1314192816
14ada6b08
1573d5a75
hex4edbf44

82689860 has 48 divisors (see below), whose sum is σ = 193862592. Its totient is φ = 29366400.

The previous prime is 82689833. The next prime is 82689863. The reversal of 82689860 is 6898628.

It is a super-2 number, since 2×826898602 = 13675225893639200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82689863) 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, 5090 + ... + 13830.

It is an arithmetic number, because the mean of its divisors is an integer number (4038804).

Almost surely, 282689860 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 82689860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96931296).

82689860 is an abundant number, since it is smaller than the sum of its proper divisors (111172732).

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

82689860 is a wasteful number, since it uses less digits than its factorization.

82689860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8804 (or 8802 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 47.

The square root of 82689860 is about 9093.3965051569. The cubic root of 82689860 is about 435.6630747199.

The spelling of 82689860 in words is "eighty-two million, six hundred eighty-nine thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 860 946 1892 2365 4730 8741 9460 17482 34964 43705 87410 96151 174820 192302 375863 384604 480755 751726 961510 1503452 1879315 1923020 3758630 4134493 7517260 8268986 16537972 20672465 41344930 82689860