Search a number
-
+
5051431 = 711172227
BaseRepresentation
bin10011010001010000100111
3100111122021001
4103101100213
52243121211
6300134131
760636130
oct23212047
910448231
105051431
112940240
121837347
13107b318
14956c87
1569bac1
hex4d1427

5051431 has 24 divisors (see below), whose sum is σ = 6719616. Its totient is φ = 3688320.

The previous prime is 5051413. The next prime is 5051443. The reversal of 5051431 is 1341505.

5051431 is a nontrivial binomial coefficient, being equal to C(3179, 2).

It is not a de Polignac number, because 5051431 - 27 = 5051303 is a prime.

It is a super-2 number, since 2×50514312 = 51033910295522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5051399 and 5051408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5051401) 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, 22140 + ... + 22366.

It is an arithmetic number, because the mean of its divisors is an integer number (279984).

Almost surely, 25051431 is an apocalyptic number.

5051431 is the 3178-th triangular number.

5051431 is the 1060-th centered nonagonal number.

5051431 is a deficient number, since it is larger than the sum of its proper divisors (1668185).

5051431 is a wasteful number, since it uses less digits than its factorization.

5051431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 5051431 is about 2247.5388761932. The cubic root of 5051431 is about 171.5819009461.

Adding to 5051431 its reverse (1341505), we get a palindrome (6392936).

It can be divided in two parts, 505 and 1431, that added together give a square (1936 = 442).

The spelling of 5051431 in words is "five million, fifty-one thousand, four hundred thirty-one".

Divisors: 1 7 11 17 77 119 187 227 289 1309 1589 2023 2497 3179 3859 17479 22253 27013 42449 65603 297143 459221 721633 5051431