Search a number
-
+
3138317248 = 261119231012
BaseRepresentation
bin1011101100001110…
…1110101111000000
322002201022000221011
42323003232233000
522411402122443
61235225010304
7140525153653
oct27303565700
98081260834
103138317248
111370553220
12737023994
133b0252971
1421ab2d89a
151357b6b9d
hexbb0eebc0

3138317248 has 168 divisors, whose sum is σ = 7536850560. Its totient is φ = 1279872000.

The previous prime is 3138317213. The next prime is 3138317257. The reversal of 3138317248 is 8427138313.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3138317248.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 31072398 + ... + 31072498.

Almost surely, 23138317248 is an apocalyptic number.

3138317248 is a gapful number since it is divisible by the number (38) 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 3138317248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3768425280).

3138317248 is an abundant number, since it is smaller than the sum of its proper divisors (4398533312).

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

3138317248 is a wasteful number, since it uses less digits than its factorization.

3138317248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 156 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The square root of 3138317248 is about 56020.6858936947. The cubic root of 3138317248 is about 1464.0827190065.

The spelling of 3138317248 in words is "three billion, one hundred thirty-eight million, three hundred seventeen thousand, two hundred forty-eight".