Search a number
-
+
2493192 = 2331361131
BaseRepresentation
bin1001100000101100001000
311200200000110
421200230020
51114240232
6125234320
730122532
oct11405410
94620013
102493192
111453199
12a029a0
13693a80
1448c852
15343acc
hex260b08

2493192 has 64 divisors (see below), whose sum is σ = 6874560. Its totient is φ = 748800.

The previous prime is 2493187. The next prime is 2493193. The reversal of 2493192 is 2913942.

It is not an unprimeable number, because it can be changed into a prime (2493193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18967 + ... + 19097.

It is an arithmetic number, because the mean of its divisors is an integer number (107415).

22493192 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 2493192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437280).

2493192 is an abundant number, since it is smaller than the sum of its proper divisors (4381368).

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

2493192 is a wasteful number, since it uses less digits than its factorization.

2493192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 210 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 2493192 is about 1578.9844837743. The cubic root of 2493192 is about 135.5975704614.

The spelling of 2493192 in words is "two million, four hundred ninety-three thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 61 78 104 122 131 156 183 244 262 312 366 393 488 524 732 786 793 1048 1464 1572 1586 1703 2379 3144 3172 3406 4758 5109 6344 6812 7991 9516 10218 13624 15982 19032 20436 23973 31964 40872 47946 63928 95892 103883 191784 207766 311649 415532 623298 831064 1246596 2493192