Search a number
-
+
82930016 = 2513311641
BaseRepresentation
bin1001111000101…
…10100101100000
312210001021121002
410330112211200
5132212230031
612121251132
72024615321
oct474264540
9183037532
1082930016
11428a2604
1223933aa8
1314247c20
14b02a448
157431ccb
hex4f16960

82930016 has 48 divisors (see below), whose sum is σ = 176668128. Its totient is φ = 38092800.

The previous prime is 82930009. The next prime is 82930021. The reversal of 82930016 is 61003928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129056 + ... + 129696.

It is an arithmetic number, because the mean of its divisors is an integer number (3680586).

Almost surely, 282930016 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 82930016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88334064).

82930016 is an abundant number, since it is smaller than the sum of its proper divisors (93738112).

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

82930016 is a wasteful number, since it uses less digits than its factorization.

82930016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 82930016 is about 9106.5918981801. The cubic root of 82930016 is about 436.0844322078.

The spelling of 82930016 in words is "eighty-two million, nine hundred thirty thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 311 416 622 641 1244 1282 2488 2564 4043 4976 5128 8086 8333 9952 10256 16172 16666 20512 32344 33332 64688 66664 129376 133328 199351 266656 398702 797404 1594808 2591563 3189616 5183126 6379232 10366252 20732504 41465008 82930016