Search a number
-
+
1705148838 = 232239742461
BaseRepresentation
bin110010110100010…
…1000000110100110
311101211112112110200
41211220220012212
511443004230323
6441111131330
760153345261
oct14550500646
94354475420
101705148838
117a556a618
123b7073b46
13212360013
14122665cd8
159ea6e443
hex65a281a6

1705148838 has 48 divisors (see below), whose sum is σ = 3894954336. Its totient is φ = 538053120.

The previous prime is 1705148833. The next prime is 1705148849. The reversal of 1705148838 is 8388415071.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1705148793 and 1705148802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1705148833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18928 + ... + 61388.

It is an arithmetic number, because the mean of its divisors is an integer number (81144882).

Almost surely, 21705148838 is an apocalyptic number.

1705148838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1705148838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947477168).

1705148838 is an abundant number, since it is smaller than the sum of its proper divisors (2189805498).

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

1705148838 is a wasteful number, since it uses less digits than its factorization.

1705148838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42589 (or 42586 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 1705148838 is about 41293.4478822004. The cubic root of 1705148838 is about 1194.6868896002.

The spelling of 1705148838 in words is "one billion, seven hundred five million, one hundred forty-eight thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 18 23 46 69 97 138 194 207 291 414 582 873 1746 2231 4462 6693 13386 20079 40158 42461 84922 127383 254766 382149 764298 976603 1953206 2929809 4118717 5859618 8237434 8789427 12356151 17578854 24712302 37068453 74136906 94730491 189460982 284191473 568382946 852574419 1705148838