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4240264 = 237229373
BaseRepresentation
bin10000001011001110001000
321222102112211
4100023032020
52041142024
6230514504
751020200
oct20131610
97872484
104240264
112436856
121505a34
13b56042
147c5400
1558b594
hex40b388

4240264 has 48 divisors (see below), whose sum is σ = 9593100. Its totient is φ = 1749888.

The previous prime is 4240219. The next prime is 4240267. The reversal of 4240264 is 4620424.

It can be written as a sum of positive squares in 2 ways, for example, as 4235364 + 4900 = 2058^2 + 70^2 .

It is not an unprimeable number, because it can be changed into a prime (4240267) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11182 + ... + 11554.

Almost surely, 24240264 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 4240264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4796550).

4240264 is an abundant number, since it is smaller than the sum of its proper divisors (5352836).

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

4240264 is a wasteful number, since it uses less digits than its factorization.

4240264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4240264 is about 2059.1901320665. The cubic root of 4240264 is about 161.8568058441.

Adding to 4240264 its reverse (4620424), we get a palindrome (8860688).

The spelling of 4240264 in words is "four million, two hundred forty thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 116 196 203 232 373 392 406 746 812 1421 1492 1624 2611 2842 2984 5222 5684 10444 10817 11368 18277 20888 21634 36554 43268 73108 75719 86536 146216 151438 302876 530033 605752 1060066 2120132 4240264