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249470672 = 241112711161
BaseRepresentation
bin11101101111010…
…01111011010000
3122101102102102112
432313221323100
51002331030142
640431004452
76116315513
oct1667517320
9571372375
10249470672
11118902010
126b669728
133c8b87a9
14251bcd7a
1516d7c382
hexede9ed0

249470672 has 40 divisors (see below), whose sum is σ = 531489792. Its totient is φ = 112492800.

The previous prime is 249470651. The next prime is 249470677. The reversal of 249470672 is 276074942.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249470677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16772 + ... + 27932.

Almost surely, 2249470672 is an apocalyptic number.

249470672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249470672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265744896).

249470672 is an abundant number, since it is smaller than the sum of its proper divisors (282019120).

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

249470672 is a wasteful number, since it uses less digits than its factorization.

249470672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11307 (or 11301 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The square root of 249470672 is about 15794.6406100297. The cubic root of 249470672 is about 629.5156031271.

The spelling of 249470672 in words is "two hundred forty-nine million, four hundred seventy thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 44 88 127 176 254 508 1016 1397 2032 2794 5588 11161 11176 22322 22352 44644 89288 122771 178576 245542 491084 982168 1417447 1964336 2834894 5669788 11339576 15591917 22679152 31183834 62367668 124735336 249470672