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4249760 = 25526561
BaseRepresentation
bin10000001101100010100000
321222220120112
4100031202200
52041443020
6231030452
751056654
oct20154240
97886515
104249760
1124429a9
12150b428
13b5a468
147c8a64
1558e2c5
hex40d8a0

4249760 has 24 divisors (see below), whose sum is σ = 10040436. Its totient is φ = 1699840.

The previous prime is 4249757. The next prime is 4249769. The reversal of 4249760 is 679424.

It can be written as a sum of positive squares in 2 ways, for example, as 4177936 + 71824 = 2044^2 + 268^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 44 + 213 + 411 + 9 + 73 + 66 + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4249769) 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, 13121 + ... + 13440.

Almost surely, 24249760 is an apocalyptic number.

4249760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4249760 is an abundant number, since it is smaller than the sum of its proper divisors (5790676).

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

4249760 is a wasteful number, since it uses less digits than its factorization.

4249760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26576 (or 26568 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 4249760 is about 2061.4946034370. The cubic root of 4249760 is about 161.9775409601.

The spelling of 4249760 in words is "four million, two hundred forty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 26561 53122 106244 132805 212488 265610 424976 531220 849952 1062440 2124880 4249760