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2584401 = 33792273
BaseRepresentation
bin1001110110111101010001
311212022010120
421312331101
51130200101
6131220453
730652461
oct11667521
94768116
102584401
111505776
12a47729
136c6441
144b3ba1
15360b36
hex276f51

2584401 has 8 divisors (see below), whose sum is σ = 3456480. Its totient is φ = 1717632.

The previous prime is 2584381. The next prime is 2584403. The reversal of 2584401 is 1044852.

2584401 is a nontrivial binomial coefficient, being equal to C(2274, 2).

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

It is not a de Polignac number, because 2584401 - 25 = 2584369 is a prime.

It is a Curzon number.

2584401 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2584403) 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, 1 + ... + 2273.

It is an arithmetic number, because the mean of its divisors is an integer number (432060).

22584401 is an apocalyptic number.

2584401 is the 2273-rd triangular number and also the 1137-th hexagonal number.

It is an amenable number.

2584401 is a deficient number, since it is larger than the sum of its proper divisors (872079).

2584401 is a wasteful number, since it uses less digits than its factorization.

2584401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2655.

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 2584401 is about 1607.6072281500. The cubic root of 2584401 is about 137.2313387656.

The spelling of 2584401 in words is "two million, five hundred eighty-four thousand, four hundred one".

Divisors: 1 3 379 1137 2273 6819 861467 2584401