Search a number
-
+
2398842 = 233311433
BaseRepresentation
bin1001001001101001111010
311111212121000
421021221322
51103230332
6123225430
726250465
oct11115172
94455530
102398842
111399316
12978276
1365cb44
144662dc
15325b7c
hex249a7a

2398842 has 32 divisors (see below), whose sum is σ = 5506560. Its totient is φ = 773280.

The previous prime is 2398789. The next prime is 2398849. The reversal of 2398842 is 2488932.

2398842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 27 + 38 + 92 + 8 + 85 + 49 + 221 .

It is a junction number, because it is equal to n+sod(n) for n = 2398797 and 2398806.

It is not an unprimeable number, because it can be changed into a prime (2398849) 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 15 ways as a sum of consecutive naturals, for example, 958 + ... + 2390.

It is an arithmetic number, because the mean of its divisors is an integer number (172080).

22398842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2398842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753280).

2398842 is an abundant number, since it is smaller than the sum of its proper divisors (3107718).

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

2398842 is a wasteful number, since it uses less digits than its factorization.

2398842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1469 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 2398842 is about 1548.8195504964. The cubic root of 2398842 is about 133.8650531257.

It can be divided in two parts, 2398 and 842, that added together give a triangular number (3240 = T80).

The spelling of 2398842 in words is "two million, three hundred ninety-eight thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1433 1674 2866 4299 8598 12897 25794 38691 44423 77382 88846 133269 266538 399807 799614 1199421 2398842