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82064448 = 263347491
BaseRepresentation
bin1001110010000…
…11010001000000
312201102022021000
410321003101000
5132002030243
612050532000
72014351644
oct471032100
9181368230
1082064448
1142361264
1223597000
1314003c5b
14ac82c24
1573105d3
hex4e43440

82064448 has 56 divisors (see below), whose sum is σ = 241259360. Its totient is φ = 27354240.

The previous prime is 82064443. The next prime is 82064467. The reversal of 82064448 is 84446028.

82064448 is a `hidden beast` number, since 8 + 2 + 0 + 644 + 4 + 8 = 666.

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 (82064443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22018 + ... + 25473.

Almost surely, 282064448 is an apocalyptic number.

It is an amenable number.

82064448 is an abundant number, since it is smaller than the sum of its proper divisors (159194912).

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

82064448 is a wasteful number, since it uses less digits than its factorization.

82064448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47512 (or 47496 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 82064448 is about 9058.9429846975. The cubic root of 82064448 is about 434.5619371220.

The spelling of 82064448 in words is "eighty-two million, sixty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 47491 94982 142473 189964 284946 379928 427419 569892 759856 854838 1139784 1282257 1519712 1709676 2279568 2564514 3039424 3419352 4559136 5129028 6838704 9118272 10258056 13677408 20516112 27354816 41032224 82064448