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82939644 = 22323771877
BaseRepresentation
bin1001111000110…
…00111011111100
312210001202210200
410330120323330
5132213032034
612121403500
72024655354
oct474307374
9183052720
1082939644
11428a9867
1223939590
131424c418
14b02db64
157434a99
hex4f18efc

82939644 has 72 divisors (see below), whose sum is σ = 218600928. Its totient is φ = 26490240.

The previous prime is 82939639. The next prime is 82939691. The reversal of 82939644 is 44693928.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 82939644.

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, 94134 + ... + 95010.

It is an arithmetic number, because the mean of its divisors is an integer number (3036124).

Almost surely, 282939644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82939644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109300464).

82939644 is an abundant number, since it is smaller than the sum of its proper divisors (135661284).

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

82939644 is a wasteful number, since it uses less digits than its factorization.

82939644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 990 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 82939644 is about 9107.1205108970. The cubic root of 82939644 is about 436.1013077158.

The spelling of 82939644 in words is "eighty-two million, nine hundred thirty-nine thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 71 74 111 142 148 213 222 284 333 426 444 639 666 852 877 1278 1332 1754 2556 2627 2631 3508 5254 5262 7881 7893 10508 10524 15762 15786 23643 31524 31572 32449 47286 62267 64898 94572 97347 124534 129796 186801 194694 249068 292041 373602 389388 560403 584082 747204 1120806 1168164 2241612 2303879 4607758 6911637 9215516 13823274 20734911 27646548 41469822 82939644