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249808040 = 2356245201
BaseRepresentation
bin11101110001111…
…00010010101000
3122102001120012122
432320330102220
51002422324130
640442130412
76122222216
oct1670742250
9572046178
10249808040
11119012529
126b7b0a08
133c9a6211
1425269cb6
1516de72e5
hexee3c4a8

249808040 has 16 divisors (see below), whose sum is σ = 562068180. Its totient is φ = 99923200.

The previous prime is 249808007. The next prime is 249808051. The reversal of 249808040 is 40808942.

249808040 is nontrivially palindromic in base 7.

249808040 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 249450436 + 357604 = 15794^2 + 598^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3122561 + ... + 3122640.

Almost surely, 2249808040 is an apocalyptic number.

249808040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249808040 is an abundant number, since it is smaller than the sum of its proper divisors (312260140).

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

249808040 is a wasteful number, since it uses less digits than its factorization.

249808040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6245212 (or 6245208 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 249808040 is about 15805.3168269415. The cubic root of 249808040 is about 629.7992473654.

The spelling of 249808040 in words is "two hundred forty-nine million, eight hundred eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 6245201 12490402 24980804 31226005 49961608 62452010 124904020 249808040