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82498464 = 2532286453
BaseRepresentation
bin1001110101011…
…01001110100000
312202020100121200
410322231032200
5132104422324
612104121200
72021140206
oct472551640
9182210550
1082498464
1142628354
1223766200
1314126679
14ad57076
157398ec9
hex4ead3a0

82498464 has 36 divisors (see below), whose sum is σ = 234605826. Its totient is φ = 27499392.

The previous prime is 82498459. The next prime is 82498499. The reversal of 82498464 is 46489428.

It can be written as a sum of positive squares in only one way, i.e., 72386064 + 10112400 = 8508^2 + 3180^2 .

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 an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 142939 + ... + 143514.

Almost surely, 282498464 is an apocalyptic number.

It is an amenable number.

82498464 is an abundant number, since it is smaller than the sum of its proper divisors (152107362).

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

82498464 is a wasteful number, since it uses less digits than its factorization.

82498464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286469 (or 286458 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 82498464 is about 9082.8665078817. The cubic root of 82498464 is about 435.3266828614.

The spelling of 82498464 in words is "eighty-two million, four hundred ninety-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 286453 572906 859359 1145812 1718718 2291624 2578077 3437436 4583248 5156154 6874872 9166496 10312308 13749744 20624616 27499488 41249232 82498464