Search a number
-
+
2946042528 = 2531113673203
BaseRepresentation
bin1010111110011001…
…0000101010100000
321121022111110121020
42233212100222200
522013141330103
61204155525440
7133001643162
oct25746205240
97538443536
102946042528
111281a673a0
126a2759880
1337c471a40
141dd39c932
15123986753
hexaf990aa0

2946042528 has 192 divisors, whose sum is σ = 9223828992. Its totient is φ = 811514880.

The previous prime is 2946042521. The next prime is 2946042551. The reversal of 2946042528 is 8252406492.

It is a self number, because there is not a number n which added to its sum of digits gives 2946042528.

It is not an unprimeable number, because it can be changed into a prime (2946042521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 918175 + ... + 921377.

It is an arithmetic number, because the mean of its divisors is an integer number (48040776).

Almost surely, 22946042528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2946042528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4611914496).

2946042528 is an abundant number, since it is smaller than the sum of its proper divisors (6277786464).

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

2946042528 is a wasteful number, since it uses less digits than its factorization.

2946042528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3307 (or 3299 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 2946042528 is about 54277.4587467026. The cubic root of 2946042528 is about 1433.5505244820.

The spelling of 2946042528 in words is "two billion, nine hundred forty-six million, forty-two thousand, five hundred twenty-eight".