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82928248 = 23132337937
BaseRepresentation
bin1001111000101…
…10001001111000
312210001012011121
410330112021320
5132212200443
612121235024
72024610214
oct474261170
9183035147
1082928248
11428a1247
1223932a74
1314247190
14b029944
1574314ed
hex4f16278

82928248 has 64 divisors (see below), whose sum is σ = 179645760. Its totient is φ = 35582976.

The previous prime is 82928239. The next prime is 82928269. The reversal of 82928248 is 84282928.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88036 + ... + 88972.

It is an arithmetic number, because the mean of its divisors is an integer number (2806965).

Almost surely, 282928248 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 82928248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89822880).

82928248 is an abundant number, since it is smaller than the sum of its proper divisors (96717512).

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

82928248 is a wasteful number, since it uses less digits than its factorization.

82928248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1012 counting only the distinct ones).

The product of its digits is 147456, while the sum is 43.

The square root of 82928248 is about 9106.4948251234. The cubic root of 82928248 is about 436.0813331982.

The spelling of 82928248 in words is "eighty-two million, nine hundred twenty-eight thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 23 26 37 46 52 74 92 104 148 184 296 299 481 598 851 937 962 1196 1702 1874 1924 2392 3404 3748 3848 6808 7496 11063 12181 21551 22126 24362 34669 43102 44252 48724 69338 86204 88504 97448 138676 172408 277352 280163 450697 560326 797387 901394 1120652 1594774 1802788 2241304 3189548 3605576 6379096 10366031 20732062 41464124 82928248