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82789616 = 2472138123
BaseRepresentation
bin1001110111101…
…00010011110000
312202210011000002
410323310103300
5132143231431
612114245132
72023462100
oct473642360
9182704002
1082789616
1142807078
12238867a8
13141c9050
14add1200
1574053cb
hex4ef44f0

82789616 has 60 divisors (see below), whose sum is σ = 200971512. Its totient is φ = 32747904.

The previous prime is 82789613. The next prime is 82789633. The reversal of 82789616 is 61698728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82789613) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6131 + ... + 14253.

Almost surely, 282789616 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 82789616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100485756).

82789616 is an abundant number, since it is smaller than the sum of its proper divisors (118181896).

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

82789616 is a wasteful number, since it uses less digits than its factorization.

82789616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8158 (or 8145 counting only the distinct ones).

The product of its digits is 290304, while the sum is 47.

The square root of 82789616 is about 9098.8799310684. The cubic root of 82789616 is about 435.8381971225.

The spelling of 82789616 in words is "eighty-two million, seven hundred eighty-nine thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 637 728 784 1274 1456 2548 5096 8123 10192 16246 32492 56861 64984 105599 113722 129968 211198 227444 398027 422396 454888 739193 796054 844792 909776 1478386 1592108 1689584 2956772 3184216 5174351 5913544 6368432 10348702 11827088 20697404 41394808 82789616