Search a number
-
+
5247132 = 22311127313
BaseRepresentation
bin10100000001000010011100
3100212120201020
4110001002130
52320402012
6304244140
762412522
oct24010234
910776636
105247132
112a64280
121910650
131119417
149a8312
156d9a8c
hex50109c

5247132 has 48 divisors (see below), whose sum is σ = 13504512. Its totient is φ = 1572480.

The previous prime is 5247131. The next prime is 5247157. The reversal of 5247132 is 2317425.

It is a super-3 number, since 3×52471323 (a number of 21 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 52 + 220 + 46 + 72 + 1 + 34 + 222 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5247131) 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 15 ways as a sum of consecutive naturals, for example, 16608 + ... + 16920.

It is an arithmetic number, because the mean of its divisors is an integer number (281344).

Almost surely, 25247132 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 5247132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6752256).

5247132 is an abundant number, since it is smaller than the sum of its proper divisors (8257380).

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

5247132 is a wasteful number, since it uses less digits than its factorization.

5247132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 456 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 5247132 is about 2290.6619130723. The cubic root of 5247132 is about 173.7696780846.

The spelling of 5247132 in words is "five million, two hundred forty-seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 127 132 254 313 381 508 626 762 939 1252 1397 1524 1878 2794 3443 3756 4191 5588 6886 8382 10329 13772 16764 20658 39751 41316 79502 119253 159004 238506 437261 477012 874522 1311783 1749044 2623566 5247132