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249345012 = 223716318211
BaseRepresentation
bin11101101110010…
…11001111110100
3122101012001001110
432313023033310
51002313020022
640424155020
76115253250
oct1667131764
9571161043
10249345012
11118826664
126b608a70
133c873537
1425189260
1516d5500c
hexedcb3f4

249345012 has 48 divisors (see below), whose sum is σ = 669036032. Its totient is φ = 70800480.

The previous prime is 249344993. The next prime is 249345017. The reversal of 249345012 is 210543942.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249345017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4587 + ... + 22797.

Almost surely, 2249345012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249345012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334518016).

249345012 is an abundant number, since it is smaller than the sum of its proper divisors (419691020).

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

249345012 is a wasteful number, since it uses less digits than its factorization.

249345012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18388 (or 18386 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 249345012 is about 15790.6621773756. The cubic root of 249345012 is about 629.4098883408.

Adding to 249345012 its reverse (210543942), we get a palindrome (459888954).

The spelling of 249345012 in words is "two hundred forty-nine million, three hundred forty-five thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 163 326 489 652 978 1141 1956 2282 3423 4564 6846 13692 18211 36422 54633 72844 109266 127477 218532 254954 382431 509908 764862 1529724 2968393 5936786 8905179 11873572 17810358 20778751 35620716 41557502 62336253 83115004 124672506 249345012