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2838190816 = 251935913003
BaseRepresentation
bin1010100100101011…
…0101101011100000
321022210120000212101
42221022311223200
521303034101231
61145344140144
7130222136536
oct25112655340
97283500771
102838190816
1112270a284a
12672607654
1336300c466
141ccd26156
15119280661
hexa92b5ae0

2838190816 has 48 divisors (see below), whose sum is σ = 5898614400. Its totient is φ = 1340558208.

The previous prime is 2838190801. The next prime is 2838190843. The reversal of 2838190816 is 6180918382.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211771 + ... + 224773.

It is an arithmetic number, because the mean of its divisors is an integer number (122887800).

Almost surely, 22838190816 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 2838190816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949307200).

2838190816 is an abundant number, since it is smaller than the sum of its proper divisors (3060423584).

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

2838190816 is a wasteful number, since it uses less digits than its factorization.

2838190816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13391 (or 13383 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The square root of 2838190816 is about 53274.6733073043. The cubic root of 2838190816 is about 1415.8389753799.

The spelling of 2838190816 in words is "two billion, eight hundred thirty-eight million, one hundred ninety thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 359 608 718 1436 2872 5744 6821 11488 13003 13642 26006 27284 52012 54568 104024 109136 208048 218272 247057 416096 494114 988228 1976456 3952912 4668077 7905824 9336154 18672308 37344616 74689232 88693463 149378464 177386926 354773852 709547704 1419095408 2838190816