Search a number
-
+
1457838018 = 232713890011
BaseRepresentation
bin101011011100100…
…1101011111000010
310202121011211210200
41112321031133002
510441201304033
6400354310030
751061263420
oct12671153702
93677154720
101457838018
11688a0330a
12348288316
131a304c660
14db88a110
1587ebc013
hex56e4d7c2

1457838018 has 48 divisors (see below), whose sum is σ = 3887572416. Its totient is φ = 384484320.

The previous prime is 1457838017. The next prime is 1457838037. The reversal of 1457838018 is 8108387541.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1457838017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443368 + ... + 446643.

It is an arithmetic number, because the mean of its divisors is an integer number (80991092).

Almost surely, 21457838018 is an apocalyptic number.

1457838018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1457838018 is an abundant number, since it is smaller than the sum of its proper divisors (2429734398).

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

1457838018 is a wasteful number, since it uses less digits than its factorization.

1457838018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890039 (or 890036 counting only the distinct ones).

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

The square root of 1457838018 is about 38181.6450405165. The cubic root of 1457838018 is about 1133.8869506482.

The spelling of 1457838018 in words is "one billion, four hundred fifty-seven million, eight hundred thirty-eight thousand, eighteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 890011 1780022 2670033 5340066 6230077 8010099 11570143 12460154 16020198 18690231 23140286 34710429 37380462 56070693 69420858 80991001 104131287 112141386 161982002 208262574 242973003 485946006 728919009 1457838018