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2830904128 = 26132318443
BaseRepresentation
bin1010100010111100…
…0010101101000000
321022021211211102001
42220233002231000
521244202413003
61144524033344
7130103200543
oct25057025500
97267754361
102830904128
111222a76198
12670092854
1336165a900
141cbd8a85a
151187e161d
hexa8bc2b40

2830904128 has 84 divisors (see below), whose sum is σ = 6279904128. Its totient is φ = 1264273920.

The previous prime is 2830904117. The next prime is 2830904143. The reversal of 2830904128 is 8214090382.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 331075 + ... + 339517.

Almost surely, 22830904128 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 2830904128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139952064).

2830904128 is an abundant number, since it is smaller than the sum of its proper divisors (3449000000).

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

2830904128 is a wasteful number, since it uses less digits than its factorization.

2830904128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8512 (or 8489 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 2830904128 is about 53206.2414383877. The cubic root of 2830904128 is about 1414.6262757938.

The spelling of 2830904128 in words is "two billion, eight hundred thirty million, nine hundred four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 169 208 248 338 403 416 496 676 806 832 992 1352 1612 1984 2704 3224 5239 5408 6448 8443 10478 10816 12896 16886 20956 25792 33772 41912 67544 83824 109759 135088 167648 219518 261733 270176 335296 439036 523466 540352 878072 1046932 1426867 1756144 2093864 2853734 3402529 3512288 4187728 5707468 6805058 7024576 8375456 11414936 13610116 16750912 22829872 27220232 44232877 45659744 54440464 88465754 91319488 108880928 176931508 217761856 353863016 707726032 1415452064 2830904128