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2809954081 = 112612792
BaseRepresentation
bin1010011101111100…
…0111111100100001
321020211102110100101
42213133013330201
521223322012311
61142455022401
7126430133644
oct24737077441
97224373311
102809954081
111212167100
1266506aa01
1335a203c2c
141c9295a5b
15116a53ec1
hexa77c7f21

2809954081 has 27 divisors (see below), whose sum is σ = 3180341619. Its totient is φ = 2480821200.

The previous prime is 2809954051. The next prime is 2809954087. The reversal of 2809954081 is 1804599082.

The square root of 2809954081 is 53009.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 91374481 + 2718579600 = 9559^2 + 52140^2 .

It is not a de Polignac number, because 2809954081 - 227 = 2675736353 is a prime.

It is a super-2 number, since 2×28099540812 = 15791683874657109122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2809954087) 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 26 ways as a sum of consecutive naturals, for example, 35569000 + ... + 35569078.

Almost surely, 22809954081 is an apocalyptic number.

2809954081 is the 53009-th square number.

2809954081 is the 26505-th centered octagonal number.

It is an amenable number.

2809954081 is a deficient number, since it is larger than the sum of its proper divisors (370387538).

2809954081 is an frugal number, since it uses more digits than its factorization.

2809954081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 46.

The cubic root of 2809954081 is about 1411.1279944726.

The spelling of 2809954081 in words is "two billion, eight hundred nine million, nine hundred fifty-four thousand, eighty-one".

Divisors: 1 11 61 79 121 671 869 3721 4819 6241 7381 9559 40931 53009 68651 293959 380701 450241 583099 755161 3233549 4187711 23222761 35569039 46064821 255450371 2809954081