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82001608 = 23131746381
BaseRepresentation
bin1001110001100…
…11111011001000
312201022010001121
410320303323020
5131443022413
612045325024
72014000513
oct470637310
9181263047
1082001608
1142319027
1223566774
1313cb1480
14ac67d7a
1572ebb8d
hex4e33ec8

82001608 has 32 divisors (see below), whose sum is σ = 175323960. Its totient is φ = 35619840.

The previous prime is 82001581. The next prime is 82001627. The reversal of 82001608 is 80610028.

It can be written as a sum of positive squares in 4 ways, for example, as 71876484 + 10125124 = 8478^2 + 3182^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21423 + ... + 24958.

Almost surely, 282001608 is an apocalyptic number.

It is an amenable number.

82001608 is an abundant number, since it is smaller than the sum of its proper divisors (93322352).

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

82001608 is a wasteful number, since it uses less digits than its factorization.

82001608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46417 (or 46413 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 82001608 is about 9055.4739246491. The cubic root of 82001608 is about 434.4509883657.

The spelling of 82001608 in words is "eighty-two million, one thousand, six hundred eight".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1768 46381 92762 185524 371048 602953 788477 1205906 1576954 2411812 3153908 4823624 6307816 10250201 20500402 41000804 82001608