Search a number
-
+
2759238 = 233371381
BaseRepresentation
bin1010100001101001000110
312012011222000
422201221012
51201243423
6135050130
732311266
oct12415106
95164860
102759238
111615069
12b10946
13757bb1
1451b7a6
15397843
hex2a1a46

2759238 has 32 divisors (see below), whose sum is σ = 6301920. Its totient is φ = 894240.

The previous prime is 2759231. The next prime is 2759249. The reversal of 2759238 is 8329572.

It is a happy number.

It is a super-2 number, since 2×27592382 = 15226788681288, which contains 22 as substring.

It is a d-powerful number, because it can be written as 216 + 74 + 56 + 9 + 220 + 313 + 85 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2759231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1308 + ... + 2688.

It is an arithmetic number, because the mean of its divisors is an integer number (196935).

22759238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2759238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3150960).

2759238 is an abundant number, since it is smaller than the sum of its proper divisors (3542682).

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

2759238 is a wasteful number, since it uses less digits than its factorization.

2759238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1423 counting only the distinct ones).

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

The square root of 2759238 is about 1661.0954217022. The cubic root of 2759238 is about 140.2586714304.

The spelling of 2759238 in words is "two million, seven hundred fifty-nine thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 666 999 1381 1998 2762 4143 8286 12429 24858 37287 51097 74574 102194 153291 306582 459873 919746 1379619 2759238