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2890431 = 33107053
BaseRepresentation
bin1011000001101010111111
312102211221000
423001222333
51214443211
6141541343
733365625
oct13015277
95384830
102890431
1116a4695
12b74853
137a281b
14553515
153c1656
hex2c1abf

2890431 has 8 divisors (see below), whose sum is σ = 4282160. Its totient is φ = 1926936.

The previous prime is 2890429. The next prime is 2890439. The reversal of 2890431 is 1340982.

It is not a de Polignac number, because 2890431 - 21 = 2890429 is a prime.

It is a super-2 number, since 2×28904312 = 16709182731522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 107053 = 2890431 / (2 + 8 + 9 + 0 + 4 + 3 + 1).

It is a Duffinian number.

2890431 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2890395 and 2890404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2890439) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 53500 + ... + 53553.

It is an arithmetic number, because the mean of its divisors is an integer number (535270).

22890431 is an apocalyptic number.

2890431 is a deficient number, since it is larger than the sum of its proper divisors (1391729).

2890431 is a wasteful number, since it uses less digits than its factorization.

2890431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107062 (or 107056 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2890431 is about 1700.1267599800. The cubic root of 2890431 is about 142.4472935273.

It can be divided in two parts, 2890 and 431, that added together give a triangular number (3321 = T81).

The spelling of 2890431 in words is "two million, eight hundred ninety thousand, four hundred thirty-one".

Divisors: 1 3 9 27 107053 321159 963477 2890431