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5516264 = 2313293159
BaseRepresentation
bin10101000010101111101000
3101101020220002
4111002233220
52403010024
6314122132
764613255
oct25025750
911336802
105516264
1131284a6
121a20348
1311b1a80
14a3842c
1573e6ae
hex542be8

5516264 has 64 divisors (see below), whose sum is σ = 12096000. Its totient is φ = 2338560.

The previous prime is 5516261. The next prime is 5516267. The reversal of 5516264 is 4626155.

It is an interprime number because it is at equal distance from previous prime (5516261) and next prime (5516267).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5516261) 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, 93467 + ... + 93525.

It is an arithmetic number, because the mean of its divisors is an integer number (189000).

Almost surely, 25516264 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 5516264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048000).

5516264 is an abundant number, since it is smaller than the sum of its proper divisors (6579736).

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

5516264 is a wasteful number, since it uses less digits than its factorization.

5516264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 134 counting only the distinct ones).

The product of its digits is 7200, while the sum is 29.

The square root of 5516264 is about 2348.6728167201. The cubic root of 5516264 is about 176.6912382262.

The spelling of 5516264 in words is "five million, five hundred sixteen thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 26 29 31 52 58 59 62 104 116 118 124 232 236 248 377 403 472 754 767 806 899 1508 1534 1612 1711 1798 1829 3016 3068 3224 3422 3596 3658 6136 6844 7192 7316 11687 13688 14632 22243 23374 23777 44486 46748 47554 53041 88972 93496 95108 106082 177944 190216 212164 424328 689533 1379066 2758132 5516264