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82488060 = 22325487941
BaseRepresentation
bin1001110101010…
…10101011111100
312202012211100100
410322222223330
5132104104220
612104001100
72021064654
oct472525374
9182184310
1082488060
1142620556
1223760190
1314121a05
14ad53364
157395d90
hex4eaaafc

82488060 has 72 divisors (see below), whose sum is σ = 250994016. Its totient is φ = 21928320.

The previous prime is 82488053. The next prime is 82488071. The reversal of 82488060 is 6088428.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 87190 + ... + 88130.

It is an arithmetic number, because the mean of its divisors is an integer number (3486028).

Almost surely, 282488060 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 82488060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125497008).

82488060 is an abundant number, since it is smaller than the sum of its proper divisors (168505956).

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

82488060 is a wasteful number, since it uses less digits than its factorization.

82488060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 82488060 is about 9082.2937631416. The cubic root of 82488060 is about 435.3083822006.

The spelling of 82488060 in words is "eighty-two million, four hundred eighty-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 487 941 974 1461 1882 1948 2435 2823 2922 3764 4383 4705 4870 5646 5844 7305 8469 8766 9410 9740 11292 14115 14610 16938 17532 18820 21915 28230 29220 33876 42345 43830 56460 84690 87660 169380 458267 916534 1374801 1833068 2291335 2749602 4124403 4582670 5499204 6874005 8248806 9165340 13748010 16497612 20622015 27496020 41244030 82488060