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82499616 = 2532286457
BaseRepresentation
bin1001110101011…
…01100000100000
312202020102012100
410322231200200
5132104441431
612104130400
72021143443
oct472554040
9182212170
1082499616
1142629201
1223766a00
1314127054
14ad5765a
1573994e6
hex4ead820

82499616 has 36 divisors (see below), whose sum is σ = 234609102. Its totient is φ = 27499776.

The previous prime is 82499611. The next prime is 82499647. The reversal of 82499616 is 61699428.

It is a happy number.

82499616 is a `hidden beast` number, since 8 + 24 + 9 + 9 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57699216 + 24800400 = 7596^2 + 4980^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (82499611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142941 + ... + 143516.

Almost surely, 282499616 is an apocalyptic number.

It is an amenable number.

82499616 is an abundant number, since it is smaller than the sum of its proper divisors (152109486).

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

82499616 is a wasteful number, since it uses less digits than its factorization.

82499616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286473 (or 286462 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 82499616 is about 9082.9299237636. The cubic root of 82499616 is about 435.3287091375.

The spelling of 82499616 in words is "eighty-two million, four hundred ninety-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 286457 572914 859371 1145828 1718742 2291656 2578113 3437484 4583312 5156226 6874968 9166624 10312452 13749936 20624904 27499872 41249808 82499616