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5213664 = 253243421
BaseRepresentation
bin10011111000110111100000
3100210212210200
4103320313200
52313314124
6303425200
762213121
oct23706740
910725720
105213664
112a41115
1218b5200
131107111
1499a048
156cebc9
hex4f8de0

5213664 has 72 divisors (see below), whose sum is σ = 15207192. Its totient is φ = 1693440.

The previous prime is 5213639. The next prime is 5213671. The reversal of 5213664 is 4663125.

It is a tau number, because it is divible by the number of its divisors (72).

Its product of digits (4320) is a multiple of the sum of its prime factors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12174 + ... + 12594.

It is an arithmetic number, because the mean of its divisors is an integer number (211211).

Almost surely, 25213664 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 5213664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7603596).

5213664 is an abundant number, since it is smaller than the sum of its proper divisors (9993528).

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

5213664 is a wasteful number, since it uses less digits than its factorization.

5213664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 469 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 5213664 is about 2283.3449148125. The cubic root of 5213664 is about 173.3994356690.

Adding to 5213664 its reverse (4663125), we get a palindrome (9876789).

The spelling of 5213664 in words is "five million, two hundred thirteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 421 516 688 774 842 1032 1263 1376 1548 1684 2064 2526 3096 3368 3789 4128 5052 6192 6736 7578 10104 12384 13472 15156 18103 20208 30312 36206 40416 54309 60624 72412 108618 121248 144824 162927 217236 289648 325854 434472 579296 651708 868944 1303416 1737888 2606832 5213664