Search a number
-
+
838392104 = 231189167641
BaseRepresentation
bin110001111110001…
…101100100101000
32011102120201202102
4301332031210220
53204112021404
6215105352532
726530133564
oct6176154450
92142521672
10838392104
113a0283440
121b4938748
13104905904
147d4c06a4
154d90c71e
hex31f8d928

838392104 has 64 divisors (see below), whose sum is σ = 1747267200. Its totient is φ = 373964800.

The previous prime is 838392101. The next prime is 838392167. The reversal of 838392104 is 401293838.

838392104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (838392101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1307624 + ... + 1308264.

It is an arithmetic number, because the mean of its divisors is an integer number (27301050).

Almost surely, 2838392104 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 838392104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873633600).

838392104 is an abundant number, since it is smaller than the sum of its proper divisors (908875096).

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

838392104 is a wasteful number, since it uses less digits than its factorization.

838392104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 838392104 is about 28955.0013641858. The cubic root of 838392104 is about 942.9363828545.

The spelling of 838392104 in words is "eight hundred thirty-eight million, three hundred ninety-two thousand, one hundred four".

Divisors: 1 2 4 8 11 22 44 88 89 167 178 334 356 641 668 712 979 1282 1336 1837 1958 2564 3674 3916 5128 7051 7348 7832 14102 14696 14863 28204 29726 56408 57049 59452 107047 114098 118904 163493 214094 228196 326986 428188 456392 627539 653972 856376 1177517 1255078 1307944 2355034 2510156 4710068 5020312 9420136 9527183 19054366 38108732 76217464 104799013 209598026 419196052 838392104