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939420768 = 253112136221
BaseRepresentation
bin110111111111100…
…110110001100000
32102110200112000210
4313333212301200
53410442431033
6233115014120
732164642026
oct6777466140
92373615023
10939420768
11442307800
1222273a340
1311c8196a0
148ca9c716
1557716d63
hex37fe6c60

939420768 has 144 divisors (see below), whose sum is σ = 2919511728. Its totient is φ = 262732800.

The previous prime is 939420761. The next prime is 939420773. The reversal of 939420768 is 867024939.

It is a super-2 number, since 2×9394207682 = 1765022758699419648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (939420761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147898 + ... + 154118.

It is an arithmetic number, because the mean of its divisors is an integer number (20274387).

Almost surely, 2939420768 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 939420768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459755864).

939420768 is an abundant number, since it is smaller than the sum of its proper divisors (1980090960).

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

939420768 is a wasteful number, since it uses less digits than its factorization.

939420768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6269 (or 6250 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 939420768 is about 30649.9717455008. The cubic root of 939420768 is about 979.3848589967.

The spelling of 939420768 in words is "nine hundred thirty-nine million, four hundred twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 121 132 143 156 176 208 242 264 286 312 352 363 416 429 484 528 572 624 726 858 968 1056 1144 1248 1452 1573 1716 1936 2288 2904 3146 3432 3872 4576 4719 5808 6221 6292 6864 9438 11616 12442 12584 13728 18663 18876 24884 25168 37326 37752 49768 50336 68431 74652 75504 80873 99536 136862 149304 151008 161746 199072 205293 242619 273724 298608 323492 410586 485238 547448 597216 646984 752741 821172 889603 970476 1094896 1293968 1505482 1642344 1779206 1940952 2189792 2258223 2587936 2668809 3010964 3284688 3558412 3881904 4516446 5337618 6021928 6569376 7116824 7763808 9032892 9785633 10675236 12043856 14233648 18065784 19571266 21350472 24087712 28467296 29356899 36131568 39142532 42700944 58713798 72263136 78285064 85401888 117427596 156570128 234855192 313140256 469710384 939420768