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838059068 = 2271121947277
BaseRepresentation
bin110001111100111…
…100010000111100
32011101221210220202
4301330330100330
53204020342233
6215054303032
726524245620
oct6174742074
92141853822
10838059068
113a0076200
121b47b7a78
1310481a152
147d435180
154d893be8
hex31f3c43c

838059068 has 144 divisors (see below), whose sum is σ = 1987722240. Its totient is φ = 301656960.

The previous prime is 838059067. The next prime is 838059071. The reversal of 838059068 is 860950838.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838059067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3025346 + ... + 3025622.

Almost surely, 2838059068 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 838059068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993861120).

838059068 is an abundant number, since it is smaller than the sum of its proper divisors (1149663172).

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

838059068 is a wasteful number, since it uses less digits than its factorization.

838059068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 47.

The square root of 838059068 is about 28949.2498693835. The cubic root of 838059068 is about 942.8115115482.

The spelling of 838059068 in words is "eight hundred thirty-eight million, fifty-nine thousand, sixty-eight".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 47 76 77 94 121 133 154 188 209 242 266 277 308 329 418 484 517 532 554 658 836 847 893 1034 1108 1316 1463 1694 1786 1939 2068 2299 2926 3047 3388 3572 3619 3878 4598 5263 5687 5852 6094 6251 7238 7756 9196 9823 10526 11374 12188 12502 13019 14476 16093 19646 21052 21329 22748 25004 26038 32186 33517 36841 39292 39809 42658 52076 57893 64372 67034 68761 73682 79618 85316 91133 108053 115786 134068 137522 143209 147364 159236 182266 216106 231572 234619 247361 275044 286418 364532 405251 432212 469238 494722 572836 636823 756371 810502 938476 989444 1002463 1273646 1512742 1575299 1621004 1731527 2004926 2547292 2720971 3025484 3150598 3463054 4009852 4457761 5441942 6301196 6926108 8915522 10883884 11027093 17831044 19046797 22054186 29930681 38093594 44108372 59861362 76187188 119722724 209514767 419029534 838059068