Search a number
249431 = 7132741
BaseRepresentation
bin111100111001010111
3110200011012
4330321113
530440211
65202435
72056130
oct747127
9420135
10249431
11160446
1210041b
13896c0
1466c87
154dd8b
hex3ce57

249431 has 8 divisors (see below), whose sum is σ = 307104. Its totient is φ = 197280.

The previous prime is 249427. The next prime is 249433. The reversal of 249431 is 134942.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 249431 - 22 = 249427 is a prime.

It is a super-2 number, since 2×2494312 = 124431647522, which contains 22 as substring.

It is a d-powerful number, because it can be written as 217 + 4 + 44 + 95 + 310 + 1 .

It is a junction number, because it is equal to n+sod(n) for n = 249397 and 249406.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 249431.

It is not an unprimeable number, because it can be changed into a prime (249433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1280 + ... + 1461.

It is an arithmetic number, because the mean of its divisors is an integer number (38388).

2249431 is an apocalyptic number.

249431 is a deficient number, since it is larger than the sum of its proper divisors (57673).

249431 is a wasteful number, since it uses less digits than its factorization.

249431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2761.

The product of its digits is 864, while the sum is 23.

The square root of 249431 is about 499.4306758700. The cubic root of 249431 is about 62.9482231847.

The spelling of 249431 in words is "two hundred forty-nine thousand, four hundred thirty-one".

Divisors: 1 7 13 91 2741 19187 35633 249431