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2809016028 = 2232713857453
BaseRepresentation
bin1010011101101110…
…0010111011011100
321020202122210120200
42213123202323130
521223102003103
61142422543500
7126416146050
oct24733427334
97222583520
102809016028
111211686355
12664897b90
13359c65c80
141c90cdc60
1511691b0a3
hexa76e2edc

2809016028 has 72 divisors (see below), whose sum is σ = 8739171168. Its totient is φ = 740838528.

The previous prime is 2809016027. The next prime is 2809016039. The reversal of 2809016028 is 8206109082.

It is a super-4 number, since 4×28090160284 (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2809015983 and 2809016001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2809016027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 425451 + ... + 432002.

Almost surely, 22809016028 is an apocalyptic number.

2809016028 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2809016028 is an abundant number, since it is smaller than the sum of its proper divisors (5930155140).

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

2809016028 is a wasteful number, since it uses less digits than its factorization.

2809016028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857483 (or 857478 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2809016028 is about 53000.1512073315. The cubic root of 2809016028 is about 1410.9709503672.

The spelling of 2809016028 in words is "two billion, eight hundred nine million, sixteen thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 857453 1714906 2572359 3429812 5144718 6002171 7717077 10289436 11146889 12004342 15434154 18006513 22293778 24008684 30868308 33440667 36013026 44587556 54019539 66881334 72026052 78028223 100322001 108039078 133762668 156056446 200644002 216078156 234084669 312112892 401288004 468169338 702254007 936338676 1404508014 2809016028