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249136 = 2423677
BaseRepresentation
bin111100110100110000
3110122202021
4330310300
530433021
65201224
72055226
oct746460
9418667
10249136
111601a8
12100214
1389524
1466b16
154dc41
hex3cd30

249136 has 20 divisors (see below), whose sum is σ = 504432. Its totient is φ = 118976.

The previous prime is 249133. The next prime is 249143. The reversal of 249136 is 631942.

249136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 249136.

It is not an unprimeable number, because it can be changed into a prime (249131) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30 + ... + 706.

2249136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252216).

249136 is an abundant number, since it is smaller than the sum of its proper divisors (255296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

249136 is a wasteful number, since it uses less digits than its factorization.

249136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 702 counting only the distinct ones).

The product of its digits is 1296, while the sum is 25.

The square root of 249136 is about 499.1352522113. The cubic root of 249136 is about 62.9233972791.

It can be divided in two parts, 2491 and 36, that multiplied together give a triangular number (89676 = T423).

The spelling of 249136 in words is "two hundred forty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 23 46 92 184 368 677 1354 2708 5416 10832 15571 31142 62284 124568 249136