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82768832 = 264131543
BaseRepresentation
bin1001110111011…
…11001111000000
312202202002111022
410323233033000
5132142100312
612114005012
72023344356
oct473571700
9182662438
1082768832
11427a24a3
1223876768
13141bc753
14adc77d6
1573ee172
hex4eef3c0

82768832 has 28 divisors (see below), whose sum is σ = 168255696. Its totient is φ = 40373760.

The previous prime is 82768811. The next prime is 82768859. The reversal of 82768832 is 23886728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13148 + ... + 18395.

It is an arithmetic number, because the mean of its divisors is an integer number (6009132).

Almost surely, 282768832 is an apocalyptic number.

82768832 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

82768832 is an abundant number, since it is smaller than the sum of its proper divisors (85486864).

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

82768832 is a wasteful number, since it uses less digits than its factorization.

82768832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31596 (or 31586 counting only the distinct ones).

The product of its digits is 258048, while the sum is 44.

The square root of 82768832 is about 9097.7377407793. The cubic root of 82768832 is about 435.8017222614.

The spelling of 82768832 in words is "eighty-two million, seven hundred sixty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 2624 31543 63086 126172 252344 504688 1009376 1293263 2018752 2586526 5173052 10346104 20692208 41384416 82768832