Search a number
-
+
4249524 = 2231737563
BaseRepresentation
bin10000001101011110110100
321222220020210
4100031132310
52041441044
6231025420
751056166
oct20153664
97886223
104249524
112442804
12150b270
13b5a316
147c8936
1558e1b9
hex40d7b4

4249524 has 48 divisors (see below), whose sum is σ = 10801728. Its totient is φ = 1294848.

The previous prime is 4249523. The next prime is 4249537. The reversal of 4249524 is 4259424.

It is a junction number, because it is equal to n+sod(n) for n = 4249491 and 4249500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4249523) 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, 7267 + ... + 7829.

It is an arithmetic number, because the mean of its divisors is an integer number (225036).

Almost surely, 24249524 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 4249524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5400864).

4249524 is an abundant number, since it is smaller than the sum of its proper divisors (6552204).

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

4249524 is a wasteful number, since it uses less digits than its factorization.

4249524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 622 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 4249524 is about 2061.4373626186. The cubic root of 4249524 is about 161.9745425627.

The spelling of 4249524 in words is "four million, two hundred forty-nine thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 37 51 68 74 102 111 148 204 222 444 563 629 1126 1258 1689 1887 2252 2516 3378 3774 6756 7548 9571 19142 20831 28713 38284 41662 57426 62493 83324 114852 124986 249972 354127 708254 1062381 1416508 2124762 4249524