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2839129 = 29472083
BaseRepresentation
bin1010110101001001011001
312100020112221
422311021121
51211323004
6140504041
733063226
oct12651131
95306487
102839129
11166a097
12b4b021
13785377
1453c94d
153b1354
hex2b5259

2839129 has 8 divisors (see below), whose sum is σ = 3000960. Its totient is φ = 2681616.

The previous prime is 2839117. The next prime is 2839141. The reversal of 2839129 is 9219382.

2839129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2839117) and next prime (2839141).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2839129 - 29 = 2838617 is a prime.

It is a Duffinian number.

2839129 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2839094 and 2839103.

It is not an unprimeable number, because it can be changed into a prime (2839159) 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 7 ways as a sum of consecutive naturals, for example, 322 + ... + 2404.

It is an arithmetic number, because the mean of its divisors is an integer number (375120).

22839129 is an apocalyptic number.

2839129 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2839129 is a deficient number, since it is larger than the sum of its proper divisors (161831).

2839129 is a wasteful number, since it uses less digits than its factorization.

2839129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159.

The product of its digits is 7776, while the sum is 34.

The square root of 2839129 is about 1684.9715131123. The cubic root of 2839129 is about 141.5994963381.

The spelling of 2839129 in words is "two million, eight hundred thirty-nine thousand, one hundred twenty-nine".

Divisors: 1 29 47 1363 2083 60407 97901 2839129