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82639950 = 23521673299
BaseRepresentation
bin1001110110011…
…11110001001110
312202111112200220
410323033301032
5132123434300
612111132210
72022266541
oct473176116
9182445626
1082639950
1142714688
1223814066
1314175ba3
14ad92858
1573c5da0
hex4ecfc4e

82639950 has 48 divisors (see below), whose sum is σ = 206236800. Its totient is φ = 21898720.

The previous prime is 82639919. The next prime is 82639957. The reversal of 82639950 is 5993628.

It is a super-2 number, since 2×826399502 = 13658722672005000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82639957) 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, 23401 + ... + 26699.

It is an arithmetic number, because the mean of its divisors is an integer number (4296600).

Almost surely, 282639950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82639950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103118400).

82639950 is an abundant number, since it is smaller than the sum of its proper divisors (123596850).

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

82639950 is a wasteful number, since it uses less digits than its factorization.

82639950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3481 (or 3476 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 82639950 is about 9090.6517918134. The cubic root of 82639950 is about 435.5754044773.

The spelling of 82639950 in words is "eighty-two million, six hundred thirty-nine thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 167 334 501 835 1002 1670 2505 3299 4175 5010 6598 8350 9897 12525 16495 19794 25050 32990 49485 82475 98970 164950 247425 494850 550933 1101866 1652799 2754665 3305598 5509330 8263995 13773325 16527990 27546650 41319975 82639950