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82550934 = 23319611319
BaseRepresentation
bin1001110101110…
…10000010010110
312202100000121000
410322322002112
5132113112214
612105204130
72021446164
oct472720226
9182300530
1082550934
1142663814
1223790646
131414450b
14ad6c234
1573a9809
hex4eba096

82550934 has 64 divisors (see below), whose sum is σ = 196416000. Its totient is φ = 25621920.

The previous prime is 82550911. The next prime is 82550947. The reversal of 82550934 is 43905528.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61927 + ... + 63245.

It is an arithmetic number, because the mean of its divisors is an integer number (3069000).

Almost surely, 282550934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82550934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98208000).

82550934 is an abundant number, since it is smaller than the sum of its proper divisors (113865066).

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

82550934 is a wasteful number, since it uses less digits than its factorization.

82550934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 82550934 is about 9085.7544540891. The cubic root of 82550934 is about 435.4189542773.

The spelling of 82550934 in words is "eighty-two million, five hundred fifty thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 61 114 122 171 183 342 366 513 549 1026 1098 1159 1319 1647 2318 2638 3294 3477 3957 6954 7914 10431 11871 20862 23742 25061 31293 35613 50122 62586 71226 75183 80459 150366 160918 225549 241377 451098 482754 676647 724131 1353294 1448262 1528721 2172393 3057442 4344786 4586163 9172326 13758489 27516978 41275467 82550934