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82810053 = 333067039
BaseRepresentation
bin1001110111110…
…01010011000101
312202211012001000
410323321103011
5132144410203
612114523513
72023605504
oct473712305
9182735030
1082810053
1142820467
1223896599
1314205441
14add883b
15740b4a3
hex4ef94c5

82810053 has 8 divisors (see below), whose sum is σ = 122681600. Its totient is φ = 55206684.

The previous prime is 82810027. The next prime is 82810067. The reversal of 82810053 is 35001828.

It is a happy number.

It is not a de Polignac number, because 82810053 - 213 = 82801861 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3067039 = 82810053 / (8 + 2 + 8 + 1 + 0 + 0 + 5 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82809999 and 82810026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82810153) 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, 1533493 + ... + 1533546.

It is an arithmetic number, because the mean of its divisors is an integer number (15335200).

Almost surely, 282810053 is an apocalyptic number.

It is an amenable number.

82810053 is a deficient number, since it is larger than the sum of its proper divisors (39871547).

82810053 is a wasteful number, since it uses less digits than its factorization.

82810053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067048 (or 3067042 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 82810053 is about 9100.0029120874. The cubic root of 82810053 is about 435.8740570641.

The spelling of 82810053 in words is "eighty-two million, eight hundred ten thousand, fifty-three".

Divisors: 1 3 9 27 3067039 9201117 27603351 82810053