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5229312 = 28311619
BaseRepresentation
bin10011111100101100000000
3100211200021020
4103330230000
52314314222
6304025440
762306544
oct23745400
910750236
105229312
112a51950
121902280
13111128a
149a1a24
156d465c
hex4fcb00

5229312 has 72 divisors (see below), whose sum is σ = 15207360. Its totient is φ = 1582080.

The previous prime is 5229299. The next prime is 5229317. The reversal of 5229312 is 2139225.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 58 + 22 + 214 + 94 + 314 + 1 + 215 .

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (5229317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8139 + ... + 8757.

Almost surely, 25229312 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 5229312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7603680).

5229312 is an abundant number, since it is smaller than the sum of its proper divisors (9978048).

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

5229312 is a wasteful number, since it uses less digits than its factorization.

5229312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 635 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 5229312 is about 2286.7688995611. The cubic root of 5229312 is about 173.5727395309.

The spelling of 5229312 in words is "five million, two hundred twenty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 619 704 768 1056 1238 1408 1857 2112 2476 2816 3714 4224 4952 6809 7428 8448 9904 13618 14856 19808 20427 27236 29712 39616 40854 54472 59424 79232 81708 108944 118848 158464 163416 217888 237696 326832 435776 475392 653664 871552 1307328 1743104 2614656 5229312