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82531053 = 32113722531
BaseRepresentation
bin1001110101101…
…01001011101101
312202022000022200
410322311023231
5132111443203
612104532113
72021334213
oct472651355
9182260280
1082531053
114264a890
1223781039
1314138457
14ad64cb3
1573a39a3
hex4eb52ed

82531053 has 24 divisors (see below), whose sum is σ = 133569696. Its totient is φ = 48664800.

The previous prime is 82531051. The next prime is 82531067. The reversal of 82531053 is 35013528.

82531053 is a `hidden beast` number, since 82 + 531 + 0 + 53 = 666.

It is not a de Polignac number, because 82531053 - 21 = 82531051 is a prime.

It is a super-2 number, since 2×825310532 = 13622749418577618, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82531051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7603 + ... + 14928.

It is an arithmetic number, because the mean of its divisors is an integer number (5565404).

Almost surely, 282531053 is an apocalyptic number.

It is an amenable number.

82531053 is a deficient number, since it is larger than the sum of its proper divisors (51038643).

82531053 is a wasteful number, since it uses less digits than its factorization.

82531053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22585 (or 22582 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 82531053 is about 9084.6603128571. The cubic root of 82531053 is about 435.3839970340.

It can be divided in two parts, 825 and 31053, that added together give a triangular number (31878 = T252).

The spelling of 82531053 in words is "eighty-two million, five hundred thirty-one thousand, fifty-three".

Divisors: 1 3 9 11 33 37 99 111 333 407 1221 3663 22531 67593 202779 247841 743523 833647 2230569 2500941 7502823 9170117 27510351 82531053