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2829897 = 34722331
BaseRepresentation
bin1010110010111001001001
312022202220000
422302321021
51211024042
6140353213
733024300
oct12627111
95282800
102829897
111663164
12b45809
137810c5
14539437
153ad74c
hex2b2e49

2829897 has 60 divisors (see below), whose sum is σ = 5296896. Its totient is φ = 1496880.

The previous prime is 2829889. The next prime is 2829899. The reversal of 2829897 is 7989282.

2829897 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2829897 - 23 = 2829889 is a prime.

Its product of digits (145152) is a multiple of the sum of its prime divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2829899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 91272 + ... + 91302.

22829897 is an apocalyptic number.

2829897 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2829897 is a deficient number, since it is larger than the sum of its proper divisors (2466999).

2829897 is a wasteful number, since it uses less digits than its factorization.

2829897 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 64 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 2829897 is about 1682.2297702752. The cubic root of 2829897 is about 141.4458499157.

The spelling of 2829897 in words is "two million, eight hundred twenty-nine thousand, eight hundred ninety-seven".

Divisors: 1 3 7 9 21 23 27 31 49 63 69 81 93 147 161 189 207 217 279 441 483 567 621 651 713 837 1127 1323 1449 1519 1863 1953 2139 2511 3381 3969 4347 4557 4991 5859 6417 10143 13041 13671 14973 17577 19251 30429 34937 41013 44919 57753 91287 104811 123039 134757 314433 404271 943299 2829897