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668083408 = 24177931091
BaseRepresentation
bin100111110100100…
…010010011010000
31201120010011010221
4213310202103100
52332012132113
6150143202424
722361421016
oct4764422320
91646104127
10668083408
1131312aa53
121678a6414
13a8545c35
1464a2a8b6
153d9ba98d
hex27d224d0

668083408 has 40 divisors (see below), whose sum is σ = 1387946880. Its totient is φ = 310402560.

The previous prime is 668083399. The next prime is 668083421. The reversal of 668083408 is 804380866.

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 7 ways as a sum of consecutive naturals, for example, 5943 + ... + 37033.

It is an arithmetic number, because the mean of its divisors is an integer number (34698672).

Almost surely, 2668083408 is an apocalyptic number.

668083408 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668083408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693973440).

668083408 is an abundant number, since it is smaller than the sum of its proper divisors (719863472).

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

668083408 is a wasteful number, since it uses less digits than its factorization.

668083408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31195 (or 31189 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The square root of 668083408 is about 25847.3094924791. The cubic root of 668083408 is about 874.1988456762.

The spelling of 668083408 in words is "six hundred sixty-eight million, eighty-three thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 34 68 79 136 158 272 316 632 1264 1343 2686 5372 10744 21488 31091 62182 124364 248728 497456 528547 1057094 2114188 2456189 4228376 4912378 8456752 9824756 19649512 39299024 41755213 83510426 167020852 334041704 668083408