Search a number
-
+
2589392 = 241359211
BaseRepresentation
bin1001111000001011010000
311212112222102
421320023100
51130330032
6131255532
731003151
oct11701320
94775872
102589392
1115094a3
12a4a5a8
136c87b0
144b5928
15362362
hex2782d0

2589392 has 40 divisors (see below), whose sum is σ = 5520480. Its totient is φ = 1169280.

The previous prime is 2589359. The next prime is 2589397. The reversal of 2589392 is 2939852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2589397) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12167 + ... + 12377.

It is an arithmetic number, because the mean of its divisors is an integer number (138012).

22589392 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 2589392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2760240).

2589392 is an abundant number, since it is smaller than the sum of its proper divisors (2931088).

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

2589392 is a wasteful number, since it uses less digits than its factorization.

2589392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 285 counting only the distinct ones).

The product of its digits is 38880, while the sum is 38.

The square root of 2589392 is about 1609.1587864471. The cubic root of 2589392 is about 137.3196224307.

The spelling of 2589392 in words is "two million, five hundred eighty-nine thousand, three hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 52 59 104 118 208 211 236 422 472 767 844 944 1534 1688 2743 3068 3376 5486 6136 10972 12272 12449 21944 24898 43888 49796 99592 161837 199184 323674 647348 1294696 2589392