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249306131 = 2343252079
BaseRepresentation
bin11101101110000…
…01110000010011
3122101010001201102
432313001300103
51002310244011
640423255015
76115032014
oct1667016023
9571101642
10249306131
111187aa428
126b5aa46b
133c85b929
142517900b
1516d4873b
hexedc1c13

249306131 has 8 divisors (see below), whose sum is σ = 266196480. Its totient is φ = 232920072.

The previous prime is 249306103. The next prime is 249306133. The reversal of 249306131 is 131603942.

249306131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-249306131 is a prime.

It is a super-2 number, since 2×2493061312 = 124307093908378322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 249306094 and 249306103.

It is not an unprimeable number, because it can be changed into a prime (249306133) 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, 125051 + ... + 127028.

It is an arithmetic number, because the mean of its divisors is an integer number (33274560).

Almost surely, 2249306131 is an apocalyptic number.

249306131 is a deficient number, since it is larger than the sum of its proper divisors (16890349).

249306131 is a wasteful number, since it uses less digits than its factorization.

249306131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252145.

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 249306131 is about 15789.4309903809. The cubic root of 249306131 is about 629.3771714803.

The spelling of 249306131 in words is "two hundred forty-nine million, three hundred six thousand, one hundred thirty-one".

Divisors: 1 23 43 989 252079 5797817 10839397 249306131