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2593424 = 24192449
BaseRepresentation
bin1001111001001010010000
311212202111202
421321022100
51130442144
6131330332
731021001
oct11711220
94782452
102593424
111511529
12a509a8
136ca592
144b71a8
1536364e
hex279290

2593424 has 30 divisors (see below), whose sum is σ = 5314950. Its totient is φ = 1225728.

The previous prime is 2593421. The next prime is 2593439. The reversal of 2593424 is 4243952.

It can be written as a sum of positive squares in only one way, i.e., 2310400 + 283024 = 1520^2 + 532^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2593421) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5552 + ... + 6000.

It is an arithmetic number, because the mean of its divisors is an integer number (177165).

22593424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2593424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657475).

2593424 is an abundant number, since it is smaller than the sum of its proper divisors (2721526).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2593424 is a wasteful number, since it uses less digits than its factorization.

2593424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 470 counting only the distinct ones).

The product of its digits is 8640, while the sum is 29.

The square root of 2593424 is about 1610.4111276317. The cubic root of 2593424 is about 137.3908599499.

The spelling of 2593424 in words is "two million, five hundred ninety-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 449 722 898 1444 1796 2888 3592 5776 7184 8531 17062 34124 68248 136496 162089 324178 648356 1296712 2593424