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82529853 = 372924673
BaseRepresentation
bin1001110101101…
…00111000111101
312202021221200020
410322310320331
5132111423403
612104522353
72021330550
oct472647075
9182257606
1082529853
114264999a
12237803b9
1314137a43
14ad64697
1573a3453
hex4eb4e3d

82529853 has 24 divisors (see below), whose sum is σ = 130273728. Its totient is φ = 45523968.

The previous prime is 82529833. The next prime is 82529861. The reversal of 82529853 is 35892528.

It is not a de Polignac number, because 82529853 - 213 = 82521661 is a prime.

It is a super-2 number, since 2×825298532 = 13622353272403218, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82529833) 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, 15325 + ... + 19997.

It is an arithmetic number, because the mean of its divisors is an integer number (5428072).

Almost surely, 282529853 is an apocalyptic number.

It is an amenable number.

82529853 is a deficient number, since it is larger than the sum of its proper divisors (47743875).

82529853 is a wasteful number, since it uses less digits than its factorization.

82529853 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4741 (or 4712 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 82529853 is about 9084.5942672196. The cubic root of 82529853 is about 435.3818868653.

It can be divided in two parts, 82 and 529853, that added together give a triangular number (529935 = T1029).

The spelling of 82529853 in words is "eighty-two million, five hundred twenty-nine thousand, eight hundred fifty-three".

Divisors: 1 3 7 21 29 87 203 609 841 2523 4673 5887 14019 17661 32711 98133 135517 406551 948619 2845857 3929993 11789979 27509951 82529853