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82144053 = 3273125029
BaseRepresentation
bin1001110010101…
…10101100110101
312201120100110100
410321112230311
5132012102203
612052344313
72015133015
oct471265465
9181510410
1082144053
1142406052
1223615099
1314031264
14aca3c45
157328ea3
hex4e56b35

82144053 has 12 divisors (see below), whose sum is σ = 120278860. Its totient is φ = 54012096.

The previous prime is 82144039. The next prime is 82144067. The reversal of 82144053 is 35044128.

It is an interprime number because it is at equal distance from previous prime (82144039) and next prime (82144067).

It can be written as a sum of positive squares in 2 ways, for example, as 45927729 + 36216324 = 6777^2 + 6018^2 .

It is not a de Polignac number, because 82144053 - 28 = 82143797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82144093) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61858 + ... + 63171.

Almost surely, 282144053 is an apocalyptic number.

It is an amenable number.

82144053 is a deficient number, since it is larger than the sum of its proper divisors (38134807).

82144053 is a wasteful number, since it uses less digits than its factorization.

82144053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125108 (or 125105 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 82144053 is about 9063.3356442317. The cubic root of 82144053 is about 434.7024044594.

The spelling of 82144053 in words is "eighty-two million, one hundred forty-four thousand, fifty-three".

Divisors: 1 3 9 73 219 657 125029 375087 1125261 9127117 27381351 82144053