Search a number
-
+
2739258 = 23437457
BaseRepresentation
bin1010011100110000111010
312011011120000
422130300322
51200124013
6134413430
732166114
oct12346072
95134500
102739258
111601055
12b01276
1374ba82
145143b4
15391973
hex29cc3a

2739258 has 40 divisors (see below), whose sum is σ = 6317652. Its totient is φ = 886464.

The previous prime is 2739241. The next prime is 2739259. The reversal of 2739258 is 8529372.

It is a happy number.

2739258 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2259009 + 480249 = 1503^2 + 693^2 .

It is a d-powerful number, because it can be written as 219 + 76 + 33 + 9 + 221 + 53 + 8 .

It is not an unprimeable number, because it can be changed into a prime (2739259) 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 19 ways as a sum of consecutive naturals, for example, 5766 + ... + 6222.

22739258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2739258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3158826).

2739258 is an abundant number, since it is smaller than the sum of its proper divisors (3578394).

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

2739258 is a wasteful number, since it uses less digits than its factorization.

2739258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 499 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 2739258 is about 1655.0703912523. The cubic root of 2739258 is about 139.9193072410.

The spelling of 2739258 in words is "two million, seven hundred thirty-nine thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 333 457 666 914 999 1371 1998 2742 2997 4113 5994 8226 12339 16909 24678 33818 37017 50727 74034 101454 152181 304362 456543 913086 1369629 2739258