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5013264 = 2431923239
BaseRepresentation
bin10011000111111100010000
3100102200220110
4103013330100
52240411024
6255241320
760416634
oct23077420
910380813
105013264
1129145a3
121819240
131066b39
14946dc4
15690629
hex4c7f10

5013264 has 80 divisors (see below), whose sum is σ = 14284800. Its totient is φ = 1507968.

The previous prime is 5013257. The next prime is 5013269. The reversal of 5013264 is 4623105.

5013264 = T7 + T8 + ... + T310.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5013264.

It is not an unprimeable number, because it can be changed into a prime (5013269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20857 + ... + 21095.

It is an arithmetic number, because the mean of its divisors is an integer number (178560).

Almost surely, 25013264 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 5013264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142400).

5013264 is an abundant number, since it is smaller than the sum of its proper divisors (9271536).

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

5013264 is a wasteful number, since it uses less digits than its factorization.

5013264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 5013264 is about 2239.0319336713. The cubic root of 5013264 is about 171.1486686297.

Adding to 5013264 its reverse (4623105), we get a palindrome (9636369).

The spelling of 5013264 in words is "five million, thirteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 38 46 48 57 69 76 92 114 138 152 184 228 239 276 304 368 437 456 478 552 717 874 912 956 1104 1311 1434 1748 1912 2622 2868 3496 3824 4541 5244 5497 5736 6992 9082 10488 10994 11472 13623 16491 18164 20976 21988 27246 32982 36328 43976 54492 65964 72656 87952 104443 108984 131928 208886 217968 263856 313329 417772 626658 835544 1253316 1671088 2506632 5013264