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5267712 = 283193
BaseRepresentation
bin10100000110000100000000
3100220121221110
4110012010000
52322031322
6304523320
762526522
oct24060400
910817843
105267712
112a7878a
121920540
1311258b8
149b1a12
156e0c0c
hex506100

5267712 has 72 divisors (see below), whose sum is σ = 14798560. Its totient is φ = 1663488.

The previous prime is 5267711. The next prime is 5267719. The reversal of 5267712 is 2177625.

Its product of digits (5880) is a multiple of the sum of its prime divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5267712.

It is not an unprimeable number, because it can be changed into a prime (5267711) 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 7 ways as a sum of consecutive naturals, for example, 277239 + ... + 277257.

Almost surely, 25267712 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 5267712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7399280).

5267712 is an abundant number, since it is smaller than the sum of its proper divisors (9530848).

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

5267712 is an frugal number, since it uses more digits than its factorization.

5267712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 24 counting only the distinct ones).

The product of its digits is 5880, while the sum is 30.

The square root of 5267712 is about 2295.1496683223. The cubic root of 5267712 is about 173.9965648681.

The spelling of 5267712 in words is "five million, two hundred sixty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 361 384 456 608 722 768 912 1083 1216 1444 1824 2166 2432 2888 3648 4332 4864 5776 6859 7296 8664 11552 13718 14592 17328 20577 23104 27436 34656 41154 46208 54872 69312 82308 92416 109744 138624 164616 219488 277248 329232 438976 658464 877952 1316928 1755904 2633856 5267712