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249106384 = 2439739217
BaseRepresentation
bin11101101100100…
…00111111010000
3122100201220201101
432312100333100
51002232401014
640415114144
76113240452
oct1666207720
9570656641
10249106384
1111868334a
126b512954
133c7bba37
14251262d2
1516d09474
hexed90fd0

249106384 has 20 divisors (see below), whose sum is σ = 483871684. Its totient is φ = 124236288.

The previous prime is 249106381. The next prime is 249106393. The reversal of 249106384 is 483601942.

249106384 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 2 ways, for example, as 96040000 + 153066384 = 9800^2 + 12372^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249106381) 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, 13257 + ... + 25960.

Almost surely, 2249106384 is an apocalyptic number.

It is an amenable number.

249106384 is a deficient number, since it is larger than the sum of its proper divisors (234765300).

249106384 is a wasteful number, since it uses less digits than its factorization.

249106384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39622 (or 39616 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 249106384 is about 15783.1043841191. The cubic root of 249106384 is about 629.2090384418.

The spelling of 249106384 in words is "two hundred forty-nine million, one hundred six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 397 794 1588 3176 6352 39217 78434 156868 313736 627472 15569149 31138298 62276596 124553192 249106384