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249124420 = 22512456221
BaseRepresentation
bin11101101100101…
…01011001000100
3122100202211110101
432312111121010
51002233440140
640415333444
76113344156
oct1666253104
9570684411
10249124420
11118695956
126b521284
133c7c6ccc
142512cad6
1516d0e99a
hexed95644

249124420 has 12 divisors (see below), whose sum is σ = 523161324. Its totient is φ = 99649760.

The previous prime is 249124391. The next prime is 249124423. The reversal of 249124420 is 24421942.

249124420 is digitally balanced in base 2, 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 2 ways, for example, as 39917124 + 209207296 = 6318^2 + 14464^2 .

It is not an unprimeable number, because it can be changed into a prime (249124423) 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, 6228091 + ... + 6228130.

It is an arithmetic number, because the mean of its divisors is an integer number (43596777).

Almost surely, 2249124420 is an apocalyptic number.

249124420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249124420 is an abundant number, since it is smaller than the sum of its proper divisors (274036904).

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

249124420 is a wasteful number, since it uses less digits than its factorization.

249124420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12456230 (or 12456228 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 249124420 is about 15783.6757442619. The cubic root of 249124420 is about 629.2242235743.

The spelling of 249124420 in words is "two hundred forty-nine million, one hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 12456221 24912442 49824884 62281105 124562210 249124420