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82515006 = 23274571433
BaseRepresentation
bin1001110101100…
…01010000111110
312202021012022100
410322301100332
5132110440011
612104325530
72021236350
oct472612076
9182235270
1082515006
1142639822
12237738a6
1314131062
14ad5d0d0
15739dd56
hex4eb143e

82515006 has 48 divisors (see below), whose sum is σ = 204912864. Its totient is φ = 23507712.

The previous prime is 82514983. The next prime is 82515023. The reversal of 82515006 is 60051528.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56866 + ... + 58298.

It is an arithmetic number, because the mean of its divisors is an integer number (4269018).

Almost surely, 282515006 is an apocalyptic number.

82515006 is an abundant number, since it is smaller than the sum of its proper divisors (122397858).

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

82515006 is a wasteful number, since it uses less digits than its factorization.

82515006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 82515006 is about 9083.7770778460. Note that the first 3 decimals coincide. The cubic root of 82515006 is about 435.3557771111.

The spelling of 82515006 in words is "eighty-two million, five hundred fifteen thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 457 914 1371 1433 2742 2866 3199 4113 4299 6398 8226 8598 9597 10031 12897 19194 20062 25794 28791 30093 57582 60186 90279 180558 654881 1309762 1964643 3929286 4584167 5893929 9168334 11787858 13752501 27505002 41257503 82515006