Search a number
-
+
407433481 = 7213249201
BaseRepresentation
bin11000010010001…
…111000100001001
31001101122202122221
4120102033010021
51313300332411
6104232414041
713045061500
oct3022170411
91041582587
10407433481
11199a92894
12b4547321
1366544c00
143c17b837
1525b81071
hex1848f109

407433481 has 18 divisors (see below), whose sum is σ = 513226062. Its totient is φ = 322358400.

The previous prime is 407433469. The next prime is 407433493. The reversal of 407433481 is 184334704.

It is an interprime number because it is at equal distance from previous prime (407433469) and next prime (407433493).

It can be written as a sum of positive squares in 3 ways, for example, as 26832400 + 380601081 = 5180^2 + 19509^2 .

It is not a de Polignac number, because 407433481 - 211 = 407431433 is a prime.

It is a super-2 number, since 2×4074334812 = 332004082879554722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (407433401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16320 + ... + 32881.

It is an arithmetic number, because the mean of its divisors is an integer number (28512559).

Almost surely, 2407433481 is an apocalyptic number.

It is an amenable number.

407433481 is a deficient number, since it is larger than the sum of its proper divisors (105792581).

407433481 is a wasteful number, since it uses less digits than its factorization.

407433481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49241 (or 49221 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 407433481 is about 20184.9815704647. The cubic root of 407433481 is about 741.3425111966.

The spelling of 407433481 in words is "four hundred seven million, four hundred thirty-three thousand, four hundred eighty-one".

Divisors: 1 7 13 49 91 169 637 1183 8281 49201 344407 639613 2410849 4477291 8314969 31341037 58204783 407433481