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82964648 = 23134119457
BaseRepresentation
bin1001111000111…
…11000010101000
312210010001002202
410330133002220
5132214332043
612122115332
72025121304
oct474370250
9183101082
1082964648
1142916628
122394bb48
131425a910
14b038d04
15743c1b8
hex4f1f0a8

82964648 has 32 divisors (see below), whose sum is σ = 171619560. Its totient is φ = 37355520.

The previous prime is 82964647. The next prime is 82964653. The reversal of 82964648 is 84646928.

It can be written as a sum of positive squares in 4 ways, for example, as 48413764 + 34550884 = 6958^2 + 5878^2 .

It is not an unprimeable number, because it can be changed into a prime (82964647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5465 + ... + 13992.

Almost surely, 282964648 is an apocalyptic number.

It is an amenable number.

82964648 is an abundant number, since it is smaller than the sum of its proper divisors (88654912).

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

82964648 is a wasteful number, since it uses less digits than its factorization.

82964648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19517 (or 19513 counting only the distinct ones).

The product of its digits is 663552, while the sum is 47.

The square root of 82964648 is about 9108.4931794452. The cubic root of 82964648 is about 436.1451274582.

The spelling of 82964648 in words is "eighty-two million, nine hundred sixty-four thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 26 41 52 82 104 164 328 533 1066 2132 4264 19457 38914 77828 155656 252941 505882 797737 1011764 1595474 2023528 3190948 6381896 10370581 20741162 41482324 82964648