Search a number
-
+
4249504 = 25761311
BaseRepresentation
bin10000001101011110100000
321222220020001
4100031132200
52041441004
6231025344
751056140
oct20153640
97886201
104249504
112442796
12150b254
13b5a2cc
147c8920
1558e1a4
hex40d7a0

4249504 has 48 divisors (see below), whose sum is σ = 9749376. Its totient is φ = 1785600.

The previous prime is 4249501. The next prime is 4249513. The reversal of 4249504 is 4059424.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (4249501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13509 + ... + 13819.

It is an arithmetic number, because the mean of its divisors is an integer number (203112).

Almost surely, 24249504 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 4249504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4874688).

4249504 is an abundant number, since it is smaller than the sum of its proper divisors (5499872).

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

4249504 is a wasteful number, since it uses less digits than its factorization.

4249504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 4249504 is about 2061.4325116287. The cubic root of 4249504 is about 161.9742884562.

It can be divided in two parts, 4249 and 504, that added together give a triangular number (4753 = T97).

The spelling of 4249504 in words is "four million, two hundred forty-nine thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 112 122 224 244 311 427 488 622 854 976 1244 1708 1952 2177 2488 3416 4354 4976 6832 8708 9952 13664 17416 18971 34832 37942 69664 75884 132797 151768 265594 303536 531188 607072 1062376 2124752 4249504