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668870048 = 25711353769
BaseRepresentation
bin100111110111100…
…010010110100000
31201121121010012202
4213313202112200
52332212320143
6150212112332
722401205310
oct4767422640
91647533182
10668870048
11313617a70
121680056a8
13a875ccc2
1464b93440
153dac3ab8
hex27de25a0

668870048 has 96 divisors (see below), whose sum is σ = 1648563840. Its totient is φ = 259522560.

The previous prime is 668870029. The next prime is 668870057. The reversal of 668870048 is 840078866.

It is a happy number.

668870048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6688700482 = 894774282223044608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 668869984 and 668870011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 869408 + ... + 870176.

It is an arithmetic number, because the mean of its divisors is an integer number (17172540).

Almost surely, 2668870048 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 668870048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824281920).

668870048 is an abundant number, since it is smaller than the sum of its proper divisors (979693792).

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

668870048 is a wasteful number, since it uses less digits than its factorization.

668870048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 47.

The square root of 668870048 is about 25862.5220734560. The cubic root of 668870048 is about 874.5418218393.

The spelling of 668870048 in words is "six hundred sixty-eight million, eight hundred seventy thousand, forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 353 616 706 769 1232 1412 1538 2464 2471 2824 3076 3883 4942 5383 5648 6152 7766 8459 9884 10766 11296 12304 15532 16918 19768 21532 24608 27181 31064 33836 39536 43064 54362 59213 62128 67672 79072 86128 108724 118426 124256 135344 172256 217448 236852 270688 271457 434896 473704 542914 869792 947408 1085828 1894816 1900199 2171656 2986027 3800398 4343312 5972054 7600796 8686624 11944108 15201592 20902189 23888216 30403184 41804378 47776432 60806368 83608756 95552864 167217512 334435024 668870048