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793939968 = 212342393
BaseRepresentation
bin101111010100101…
…001000000000000
32001022221022220000
4233110221000000
53111222034333
6210440520000
725450243533
oct5724510000
92038838800
10793939968
11378181938
121a1a80000
13c8640783
147762ca1a
1549a7b713
hex2f529000

793939968 has 130 divisors (see below), whose sum is σ = 2372719734. Its totient is φ = 264536064.

The previous prime is 793939961. The next prime is 793939973. The reversal of 793939968 is 869939397.

It can be written as a sum of positive squares in only one way, i.e., 454201344 + 339738624 = 21312^2 + 18432^2 .

It is not an unprimeable number, because it can be changed into a prime (793939961) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 330580 + ... + 332972.

Almost surely, 2793939968 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 793939968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186359867).

793939968 is an abundant number, since it is smaller than the sum of its proper divisors (1578779766).

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

793939968 is an equidigital number, since it uses as much as digits as its factorization.

793939968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2429 (or 2398 counting only the distinct ones).

The product of its digits is 19840464, while the sum is 63.

The square root of 793939968 is about 28176.9403590951. The cubic root of 793939968 is about 925.9678082812.

The spelling of 793939968 in words is "seven hundred ninety-three million, nine hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2393 2592 3072 3456 4096 4608 4786 5184 6144 6912 7179 9216 9572 10368 12288 13824 14358 18432 19144 20736 21537 27648 28716 36864 38288 41472 43074 55296 57432 64611 76576 82944 86148 110592 114864 129222 153152 165888 172296 193833 229728 258444 306304 331776 344592 387666 459456 516888 612608 689184 775332 918912 1033776 1225216 1378368 1550664 1837824 2067552 2450432 2756736 3101328 3675648 4135104 4900864 5513472 6202656 7351296 8270208 9801728 11026944 12405312 14702592 16540416 22053888 24810624 29405184 33080832 44107776 49621248 66161664 88215552 99242496 132323328 198484992 264646656 396969984 793939968