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674920896 = 26313317853
BaseRepresentation
bin101000001110100…
…111100111000000
31202000222112102020
4220032213213000
52340234432041
6150545521440
722503506256
oct5016474700
91660875366
10674920896
11316a80071
1216a043280
13a9a9b1a0
14658ca5d6
153e3bb866
hex283a79c0

674920896 has 112 divisors (see below), whose sum is σ = 1931420064. Its totient is φ = 206770176.

The previous prime is 674920879. The next prime is 674920931. The reversal of 674920896 is 698029476.

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, 790806 + ... + 791658.

It is an arithmetic number, because the mean of its divisors is an integer number (17244822).

Almost surely, 2674920896 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 674920896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965710032).

674920896 is an abundant number, since it is smaller than the sum of its proper divisors (1256499168).

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

674920896 is a wasteful number, since it uses less digits than its factorization.

674920896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The square root of 674920896 is about 25979.2397117391. The cubic root of 674920896 is about 877.1710532364.

The spelling of 674920896 in words is "six hundred seventy-four million, nine hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 317 416 624 634 832 853 951 1248 1268 1706 1902 2496 2536 2559 3412 3804 4121 5072 5118 6824 7608 8242 10144 10236 11089 12363 13648 15216 16484 20288 20472 22178 24726 27296 30432 32968 33267 40944 44356 49452 54592 60864 65936 66534 81888 88712 98904 131872 133068 163776 177424 197808 263744 266136 270401 354848 395616 532272 540802 709696 791232 811203 1064544 1081604 1622406 2129088 2163208 3244812 3515213 4326416 6489624 7030426 8652832 10545639 12979248 14060852 17305664 21091278 25958496 28121704 42182556 51916992 56243408 84365112 112486816 168730224 224973632 337460448 674920896