Search a number
-
+
5207712 = 253173191
BaseRepresentation
bin10011110111011010100000
3100210120122020
4103313122200
52313121322
6303341440
762156556
oct23673240
910716566
105207712
112a376a4
1218b1880
1311044b3
14997bd6
156cd05c
hex4f76a0

5207712 has 48 divisors (see below), whose sum is σ = 14478912. Its totient is φ = 1633280.

The previous prime is 5207711. The next prime is 5207723. The reversal of 5207712 is 2177025.

5207712 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (5207711) 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, 37 + ... + 3227.

It is an arithmetic number, because the mean of its divisors is an integer number (301644).

Almost surely, 25207712 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 5207712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7239456).

5207712 is an abundant number, since it is smaller than the sum of its proper divisors (9271200).

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

5207712 is a wasteful number, since it uses less digits than its factorization.

5207712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3221 (or 3213 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 5207712 is about 2282.0411915651. The cubic root of 5207712 is about 173.3334253780. Note that the first 3 decimals are identical.

The spelling of 5207712 in words is "five million, two hundred seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 3191 6382 9573 12764 19146 25528 38292 51056 54247 76584 102112 108494 153168 162741 216988 306336 325482 433976 650964 867952 1301928 1735904 2603856 5207712