Search a number
-
+
5246309376 = 210327117393
BaseRepresentation
bin1001110001011010…
…00101010000000000
3111112121212010111200
410320231011100000
541221023400001
62224330341200
7244002615420
oct47055052000
914477763450
105246309376
11225244a980
121024b8a800
13657bab499
1437aa9a480
1520a8ac086
hex138b45400

5246309376 has 264 divisors, whose sum is σ = 18889126464. Its totient is φ = 1362493440.

The previous prime is 5246309371. The next prime is 5246309377. The reversal of 5246309376 is 6739036425.

5246309376 is a `hidden beast` number, since 5 + 2 + 4 + 630 + 9 + 3 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5246309371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 705936 + ... + 713328.

Almost surely, 25246309376 is an apocalyptic number.

5246309376 is a gapful number since it is divisible by the number (56) 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 5246309376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9444563232).

5246309376 is an abundant number, since it is smaller than the sum of its proper divisors (13642817088).

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

5246309376 is a wasteful number, since it uses less digits than its factorization.

5246309376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7437 (or 7416 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 5246309376 is about 72431.4115284246. The cubic root of 5246309376 is about 1737.6059664234.

The spelling of 5246309376 in words is "five billion, two hundred forty-six million, three hundred nine thousand, three hundred seventy-six".