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2904028816 = 2413115312109
BaseRepresentation
bin1010110100010111…
…1111011010010000
321111101102221121211
42231011333122100
521421412410231
61200055225504
7131651560213
oct25505773220
97441387554
102904028816
111260280917
12690678294
13373851760
141d798377a
1511ee37eb1
hexad17f690

2904028816 has 40 divisors (see below), whose sum is σ = 6065123960. Its totient is φ = 1339047936.

The previous prime is 2904028801. The next prime is 2904028823. The reversal of 2904028816 is 6188204092.

It can be written as a sum of positive squares in 4 ways, for example, as 1255993600 + 1648035216 = 35440^2 + 40596^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233770 + ... + 245878.

It is an arithmetic number, because the mean of its divisors is an integer number (151628099).

Almost surely, 22904028816 is an apocalyptic number.

2904028816 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2904028816 is an abundant number, since it is smaller than the sum of its proper divisors (3161095144).

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

2904028816 is a wasteful number, since it uses less digits than its factorization.

2904028816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13283 (or 13277 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 2904028816 is about 53889.0417060834. The cubic root of 2904028816 is about 1426.7032169089.

The spelling of 2904028816 in words is "two billion, nine hundred four million, twenty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 208 1153 2306 4612 9224 12109 14989 18448 24218 29978 48436 59956 96872 119912 157417 193744 239824 314834 629668 1259336 2518672 13961677 27923354 55846708 111693416 181501801 223386832 363003602 726007204 1452014408 2904028816