Search a number
-
+
4740747264 = 2123511433
BaseRepresentation
bin1000110101001001…
…00001000000000000
3110020101112220200000
410122210201000000
534202112403024
62102230400000
7225323454411
oct43244410000
913211486600
104740747264
112013034650
12b03800000
135a72297c6
1432d897808
151cb2e5cc9
hex11a921000

4740747264 has 312 divisors, whose sum is σ = 15527776992. Its totient is φ = 1433272320.

The previous prime is 4740747229. The next prime is 4740747299. The reversal of 4740747264 is 4627470474.

It is an interprime number because it is at equal distance from previous prime (4740747229) and next prime (4740747299).

It is a super-2 number, since 2×47407472642 = 44949369242246971392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10948392 + ... + 10948824.

It is an arithmetic number, because the mean of its divisors is an integer number (49768516).

Almost surely, 24740747264 is an apocalyptic number.

4740747264 is a gapful number since it is divisible by the number (44) 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 4740747264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7763888496).

4740747264 is an abundant number, since it is smaller than the sum of its proper divisors (10787029728).

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

4740747264 is an equidigital number, since it uses as much as digits as its factorization.

4740747264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 45.

The square root of 4740747264 is about 68853.0846367830. The cubic root of 4740747264 is about 1679.8955037045.

The spelling of 4740747264 in words is "four billion, seven hundred forty million, seven hundred forty-seven thousand, two hundred sixty-four".