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5263616 = 2829709
BaseRepresentation
bin10100000101000100000000
3100220102022202
4110011010000
52321413431
6304452332
762511551
oct24050400
910812282
105263616
112a756a6
12191a0a8
131123a87
149b0328
156de8cb
hex505100

5263616 has 36 divisors (see below), whose sum is σ = 10884300. Its totient is φ = 2537472.

The previous prime is 5263613. The next prime is 5263631. The reversal of 5263616 is 6163625.

It can be written as a sum of positive squares in 2 ways, for example, as 1638400 + 3625216 = 1280^2 + 1904^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (5263613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7070 + ... + 7778.

Almost surely, 25263616 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 5263616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5442150).

5263616 is an abundant number, since it is smaller than the sum of its proper divisors (5620684).

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

5263616 is an equidigital number, since it uses as much as digits as its factorization.

5263616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 740 counting only the distinct ones).

The product of its digits is 6480, while the sum is 29.

The square root of 5263616 is about 2294.2571782605. The cubic root of 5263616 is about 173.9514551677.

Subtracting 5263616 from its reverse (6163625), we obtain a palindrome (900009).

The spelling of 5263616 in words is "five million, two hundred sixty-three thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 709 928 1418 1856 2836 3712 5672 7424 11344 20561 22688 41122 45376 82244 90752 164488 181504 328976 657952 1315904 2631808 5263616