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82521414 = 232291131399
BaseRepresentation
bin1001110101100…
…10110101000110
312202021112002200
410322302311012
5132111141124
612104415330
72021264133
oct472626506
9182245080
1082521414
1142643618
1223777546
1314133c51
14ad6158a
1573a0bc9
hex4eb2d46

82521414 has 48 divisors (see below), whose sum is σ = 186732000. Its totient is φ = 26304768.

The previous prime is 82521403. The next prime is 82521457. The reversal of 82521414 is 41412528.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58287 + ... + 59685.

It is an arithmetic number, because the mean of its divisors is an integer number (3890250).

Almost surely, 282521414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82521414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93366000).

82521414 is an abundant number, since it is smaller than the sum of its proper divisors (104210586).

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

82521414 is a wasteful number, since it uses less digits than its factorization.

82521414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549 (or 1546 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 82521414 is about 9084.1297877122. The cubic root of 82521414 is about 435.3670465263.

The spelling of 82521414 in words is "eighty-two million, five hundred twenty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 29 58 87 113 174 226 261 339 522 678 1017 1399 2034 2798 3277 4197 6554 8394 9831 12591 19662 25182 29493 40571 58986 81142 121713 158087 243426 316174 365139 474261 730278 948522 1422783 2845566 4584523 9169046 13753569 27507138 41260707 82521414