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5273664 = 263112227
BaseRepresentation
bin10100000111100001000000
3100220221002220
4110013201000
52322224124
6305011040
762553054
oct24074100
910827086
105273664
112a82200
121923a80
131128516
149b3c64
156e2879
hex507840

5273664 has 84 divisors (see below), whose sum is σ = 15404592. Its totient is φ = 1591040.

The previous prime is 5273663. The next prime is 5273669. The reversal of 5273664 is 4663725.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (5273663) 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 11 ways as a sum of consecutive naturals, for example, 23119 + ... + 23345.

It is an arithmetic number, because the mean of its divisors is an integer number (183388).

Almost surely, 25273664 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 5273664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7702296).

5273664 is an abundant number, since it is smaller than the sum of its proper divisors (10130928).

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

5273664 is a wasteful number, since it uses less digits than its factorization.

5273664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 243 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 5273664 is about 2296.4459497232. The cubic root of 5273664 is about 174.0620732423.

The spelling of 5273664 in words is "five million, two hundred seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 132 176 192 227 242 264 352 363 454 484 528 681 704 726 908 968 1056 1362 1452 1816 1936 2112 2497 2724 2904 3632 3872 4994 5448 5808 7264 7491 7744 9988 10896 11616 14528 14982 19976 21792 23232 27467 29964 39952 43584 54934 59928 79904 82401 109868 119856 159808 164802 219736 239712 329604 439472 479424 659208 878944 1318416 1757888 2636832 5273664