Search a number
-
+
3049933824 = 21035717103
BaseRepresentation
bin1011010111001010…
…0100110000000000
321212112222200200000
42311302210300000
522221240340244
61222350400000
7135403003230
oct26562446000
97775880600
103049933824
111325676473
12711500000
13397b48792
1420d0c3cc0
1512cb59169
hexb5ca4c00

3049933824 has 528 divisors, whose sum is σ = 11158737408. Its totient is φ = 812187648.

The previous prime is 3049933819. The next prime is 3049933847. The reversal of 3049933824 is 4283399403.

3049933824 is a `hidden beast` number, since 304 + 9 + 9 + 338 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3049933824.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29610957 + ... + 29611059.

Almost surely, 23049933824 is an apocalyptic number.

3049933824 is a gapful number since it is divisible by the number (34) 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 3049933824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5579368704).

3049933824 is an abundant number, since it is smaller than the sum of its proper divisors (8108803584).

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

3049933824 is a wasteful number, since it uses less digits than its factorization.

3049933824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 3049933824 is about 55226.2059533334. The cubic root of 3049933824 is about 1450.2074731264.

The spelling of 3049933824 in words is "three billion, forty-nine million, nine hundred thirty-three thousand, eight hundred twenty-four".