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8924942048 = 2511194728393
BaseRepresentation
bin10000100111111011…
…11100111011100000
3212000222212000212012
420103331330323200
5121234241121143
64033340252052
7434111520131
oct102375747340
925028760765
108924942048
11386a996070
121890b41028
13ac30604c9
14609477c88
15373802418
hex213f7cee0

8924942048 has 96 divisors (see below), whose sum is σ = 20607229440. Its totient is φ = 3761372160.

The previous prime is 8924942027. The next prime is 8924942071. The reversal of 8924942048 is 8402494298.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8924941987 and 8924942005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300140 + ... + 328532.

It is an arithmetic number, because the mean of its divisors is an integer number (214658640).

Almost surely, 28924942048 is an apocalyptic number.

8924942048 is a gapful number since it is divisible by the number (88) 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 8924942048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10303614720).

8924942048 is an abundant number, since it is smaller than the sum of its proper divisors (11682287392).

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

8924942048 is a wasteful number, since it uses less digits than its factorization.

8924942048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28480 (or 28472 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 50.

The square root of 8924942048 is about 94471.9114234490. The cubic root of 8924942048 is about 2074.2851980647.

The spelling of 8924942048 in words is "eight billion, nine hundred twenty-four million, nine hundred forty-two thousand, forty-eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 47 76 88 94 152 176 188 209 304 352 376 418 517 608 752 836 893 1034 1504 1672 1786 2068 3344 3572 4136 6688 7144 8272 9823 14288 16544 19646 28393 28576 39292 56786 78584 113572 157168 227144 312323 314336 454288 539467 624646 908576 1078934 1249292 1334471 2157868 2498584 2668942 4315736 4997168 5337884 5934137 8631472 9994336 10675768 11868274 14679181 17262944 21351536 23736548 25354949 29358362 42703072 47473096 50709898 58716724 94946192 101419796 117433448 189892384 202839592 234866896 278904439 405679184 469733792 557808878 811358368 1115617756 2231235512 4462471024 8924942048