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3048964416 = 263417291193
BaseRepresentation
bin1011010110111011…
…1000000101000000
321212111011102220000
42311232320011000
522221013330131
61222313520000
7135361525041
oct26556700500
97774142800
103048964416
111325074103
12711113000
13397899474
1420cd108c8
1512ca16ce6
hexb5bb8140

3048964416 has 280 divisors, whose sum is σ = 9908026920. Its totient is φ = 922779648.

The previous prime is 3048964411. The next prime is 3048964423. The reversal of 3048964416 is 6144698403.

It can be written as a sum of positive squares in 4 ways, for example, as 858724416 + 2190240000 = 29304^2 + 46800^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3048964411) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2555116 + ... + 2556308.

Almost surely, 23048964416 is an apocalyptic number.

3048964416 is a gapful number since it is divisible by the number (36) 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 3048964416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4954013460).

3048964416 is an abundant number, since it is smaller than the sum of its proper divisors (6859062504).

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

3048964416 is a wasteful number, since it uses less digits than its factorization.

3048964416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3048964416 is about 55217.4285529488. The cubic root of 3048964416 is about 1450.0538094974.

The spelling of 3048964416 in words is "three billion, forty-eight million, nine hundred sixty-four thousand, four hundred sixteen".