Search a number
-
+
249869320 = 23545713669
BaseRepresentation
bin11101110010010…
…11010000001000
3122102011200021021
432321023100020
51002431304240
640443322224
76122565661
oct1671132010
9572150237
10249869320
11119054578
126b820374
133c9c808c
1425284368
1516e0a54a
hexee4b408

249869320 has 32 divisors (see below), whose sum is σ = 563477400. Its totient is φ = 99721728.

The previous prime is 249869303. The next prime is 249869327. The reversal of 249869320 is 23968942.

249869320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 245925124 + 3944196 = 15682^2 + 1986^2 .

It is not an unprimeable number, because it can be changed into a prime (249869327) 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, 11446 + ... + 25114.

Almost surely, 2249869320 is an apocalyptic number.

249869320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249869320 is an abundant number, since it is smaller than the sum of its proper divisors (313608080).

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

249869320 is a wasteful number, since it uses less digits than its factorization.

249869320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14137 (or 14133 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 249869320 is about 15807.2552962239. The cubic root of 249869320 is about 629.8507414947.

The spelling of 249869320 in words is "two hundred forty-nine million, eight hundred sixty-nine thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 457 914 1828 2285 3656 4570 9140 13669 18280 27338 54676 68345 109352 136690 273380 546760 6246733 12493466 24986932 31233665 49973864 62467330 124934660 249869320