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249013728 = 2532864631
BaseRepresentation
bin11101101011110…
…10010111100000
3122100120012121200
432311322113200
51002221414403
640413121200
76112403355
oct1665722740
9570505550
10249013728
1111861a777
126b489200
133c788802
142510062c
1516cdbca3
hexed7a5e0

249013728 has 36 divisors (see below), whose sum is σ = 708133608. Its totient is φ = 83004480.

The previous prime is 249013703. The next prime is 249013729. The reversal of 249013728 is 827310942.

249013728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 249013692 and 249013701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249013729) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 432028 + ... + 432603.

It is an arithmetic number, because the mean of its divisors is an integer number (19670378).

Almost surely, 2249013728 is an apocalyptic number.

It is an amenable number.

249013728 is an abundant number, since it is smaller than the sum of its proper divisors (459119880).

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

249013728 is a wasteful number, since it uses less digits than its factorization.

249013728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864647 (or 864636 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 249013728 is about 15780.1688203897. The cubic root of 249013728 is about 629.1310165923.

The spelling of 249013728 in words is "two hundred forty-nine million, thirteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 864631 1729262 2593893 3458524 5187786 6917048 7781679 10375572 13834096 15563358 20751144 27668192 31126716 41502288 62253432 83004576 124506864 249013728