Search a number
-
+
249205936 = 2472225053
BaseRepresentation
bin11101101101010…
…01010010110000
3122100220222021111
432312221102300
51002244042221
640421203104
76114133630
oct1666512260
9570828244
10249205936
11118741121
126b560494
133c825145
14251506c0
1516d28be1
hexeda94b0

249205936 has 20 divisors (see below), whose sum is σ = 551813392. Its totient is φ = 106802496.

The previous prime is 249205933. The next prime is 249205939. The reversal of 249205936 is 639502942.

249205936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (249205933) and next prime (249205939).

It is not an unprimeable number, because it can be changed into a prime (249205933) 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, 1112415 + ... + 1112638.

Almost surely, 2249205936 is an apocalyptic number.

It is an amenable number.

249205936 is an abundant number, since it is smaller than the sum of its proper divisors (302607456).

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

249205936 is a wasteful number, since it uses less digits than its factorization.

249205936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225068 (or 2225062 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The square root of 249205936 is about 15786.2578212824. The cubic root of 249205936 is about 629.2928455751.

The spelling of 249205936 in words is "two hundred forty-nine million, two hundred five thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 2225053 4450106 8900212 15575371 17800424 31150742 35600848 62301484 124602968 249205936