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2582073 = 321329761
BaseRepresentation
bin1001110110011000111001
311212011221100
421312120321
51130111243
6131202013
730642624
oct11663071
94764840
102582073
111503a4a
12a46309
136c5370
144b2dbb
153600d3
hex276639

2582073 has 24 divisors (see below), whose sum is σ = 4160520. Its totient is φ = 1532160.

The previous prime is 2582071. The next prime is 2582077. The reversal of 2582073 is 3702852.

It can be written as a sum of positive squares in 4 ways, for example, as 63504 + 2518569 = 252^2 + 1587^2 .

It is not a de Polignac number, because 2582073 - 21 = 2582071 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2582071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3013 + ... + 3773.

It is an arithmetic number, because the mean of its divisors is an integer number (173355).

22582073 is an apocalyptic number.

It is an amenable number.

2582073 is a deficient number, since it is larger than the sum of its proper divisors (1578447).

2582073 is a wasteful number, since it uses less digits than its factorization.

2582073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2582073 is about 1606.8830075646. The cubic root of 2582073 is about 137.1901208933.

The spelling of 2582073 in words is "two million, five hundred eighty-two thousand, seventy-three".

Divisors: 1 3 9 13 29 39 87 117 261 377 761 1131 2283 3393 6849 9893 22069 29679 66207 89037 198621 286897 860691 2582073