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82070848 = 264131277
BaseRepresentation
bin1001110010001…
…00110101000000
312201102122001001
410321010311000
5132002231343
612051021344
72014406416
oct471046500
9181378031
1082070848
1142366052
122359a854
1314006b42
14ac852b6
15731244d
hex4e44d40

82070848 has 28 divisors (see below), whose sum is σ = 166836852. Its totient is φ = 40033280.

The previous prime is 82070843. The next prime is 82070851. The reversal of 82070848 is 84807028.

It can be written as a sum of positive squares in 2 ways, for example, as 21977344 + 60093504 = 4688^2 + 7752^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82070843) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13015 + ... + 18262.

It is an arithmetic number, because the mean of its divisors is an integer number (5958459).

Almost surely, 282070848 is an apocalyptic number.

It is an amenable number.

82070848 is an abundant number, since it is smaller than the sum of its proper divisors (84766004).

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

82070848 is a wasteful number, since it uses less digits than its factorization.

82070848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31330 (or 31320 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The square root of 82070848 is about 9059.2962199058. The cubic root of 82070848 is about 434.5732336261.

The spelling of 82070848 in words is "eighty-two million, seventy thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 2624 31277 62554 125108 250216 500432 1000864 1282357 2001728 2564714 5129428 10258856 20517712 41035424 82070848