Search a number
-
+
415741431 = 3722828173
BaseRepresentation
bin11000110001111…
…011010111110111
31001222021212000210
4120301323113313
51322412211211
6105130440503
713205513100
oct3061732767
91058255023
10415741431
111a3747766
12b7293133
1368193561
143d3013a7
15267729a6
hex18c7b5f7

415741431 has 12 divisors (see below), whose sum is σ = 644823672. Its totient is φ = 237566448.

The previous prime is 415741427. The next prime is 415741463. The reversal of 415741431 is 134147514.

It is not a de Polignac number, because 415741431 - 22 = 415741427 is a prime.

It is a super-2 number, since 2×4157414312 = 345681874899855522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415741411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1413940 + ... + 1414233.

It is an arithmetic number, because the mean of its divisors is an integer number (53735306).

Almost surely, 2415741431 is an apocalyptic number.

415741431 is a deficient number, since it is larger than the sum of its proper divisors (229082241).

415741431 is a wasteful number, since it uses less digits than its factorization.

415741431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828190 (or 2828183 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 415741431 is about 20389.7383749768. The cubic root of 415741431 is about 746.3475339749.

Adding to 415741431 its reverse (134147514), we get a palindrome (549888945).

The spelling of 415741431 in words is "four hundred fifteen million, seven hundred forty-one thousand, four hundred thirty-one".

Divisors: 1 3 7 21 49 147 2828173 8484519 19797211 59391633 138580477 415741431