Search a number
-
+
249971274 = 23278922291
BaseRepresentation
bin11101110011001…
…00001001001010
3122102100212010100
432321210021022
51002443040044
640445430230
76123502140
oct1671441112
9572325110
10249971274
11119114133
126b86b376
133ca325c7
14252ad590
1516e2a869
hexee6424a

249971274 has 48 divisors (see below), whose sum is σ = 625959360. Its totient is φ = 70614720.

The previous prime is 249971273. The next prime is 249971279. The reversal of 249971274 is 472179942.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (249971273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69 + ... + 22359.

It is an arithmetic number, because the mean of its divisors is an integer number (13040820).

Almost surely, 2249971274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249971274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312979680).

249971274 is an abundant number, since it is smaller than the sum of its proper divisors (375988086).

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

249971274 is a wasteful number, since it uses less digits than its factorization.

249971274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22395 (or 22392 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 249971274 is about 15810.4798788652. The cubic root of 249971274 is about 629.9363956952.

The spelling of 249971274 in words is "two hundred forty-nine million, nine hundred seventy-one thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 89 126 178 267 534 623 801 1246 1602 1869 3738 5607 11214 22291 44582 66873 133746 156037 200619 312074 401238 468111 936222 1404333 1983899 2808666 3967798 5951697 11903394 13887293 17855091 27774586 35710182 41661879 83323758 124985637 249971274