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4249120 = 25526557
BaseRepresentation
bin10000001101011000100000
321222212200211
4100031120200
52041432440
6231023504
751055051
oct20153040
97885624
104249120
112442477
12150ab94
13b5a095
147c8728
1558deea
hex40d620

4249120 has 24 divisors (see below), whose sum is σ = 10038924. Its totient is φ = 1699584.

The previous prime is 4249097. The next prime is 4249123. The reversal of 4249120 is 219424.

It can be written as a sum of positive squares in 2 ways, for example, as 4210704 + 38416 = 2052^2 + 196^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4249091 and 4249100.

It is not an unprimeable number, because it can be changed into a prime (4249123) 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 3 ways as a sum of consecutive naturals, for example, 13119 + ... + 13438.

Almost surely, 24249120 is an apocalyptic number.

4249120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4249120 is an abundant number, since it is smaller than the sum of its proper divisors (5789804).

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

4249120 is a wasteful number, since it uses less digits than its factorization.

4249120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26572 (or 26564 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 4249120 is about 2061.3393704094. The cubic root of 4249120 is about 161.9694094554.

The spelling of 4249120 in words is "four million, two hundred forty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 26557 53114 106228 132785 212456 265570 424912 531140 849824 1062280 2124560 4249120