Search a number
-
+
402013431 = 32711016229
BaseRepresentation
bin10111111101100…
…011110011110111
31001000110101202100
4113331203303313
51310403412211
6103520313143
712651025551
oct2775436367
91030411670
10402013431
11196a20706
12b27727b3
1365397b91
143b56a4d1
1525460156
hex17f63cf7

402013431 has 24 divisors (see below), whose sum is σ = 594790560. Its totient is φ = 261576000.

The previous prime is 402013387. The next prime is 402013439. The reversal of 402013431 is 134310204.

It is not a de Polignac number, because 402013431 - 217 = 401882359 is a prime.

It is a super-2 number, since 2×4020134312 = 323229597408783522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402013439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61425 + ... + 67653.

It is an arithmetic number, because the mean of its divisors is an integer number (24782940).

Almost surely, 2402013431 is an apocalyptic number.

402013431 is a deficient number, since it is larger than the sum of its proper divisors (192777129).

402013431 is a wasteful number, since it uses less digits than its factorization.

402013431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6407 (or 6404 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 402013431 is about 20050.2725916632. The cubic root of 402013431 is about 738.0404884478.

Adding to 402013431 its reverse (134310204), we get a palindrome (536323635).

The spelling of 402013431 in words is "four hundred two million, thirteen thousand, four hundred thirty-one".

Divisors: 1 3 9 71 101 213 303 639 909 6229 7171 18687 21513 56061 64539 442259 629129 1326777 1887387 3980331 5662161 44668159 134004477 402013431