Search a number
-
+
5243000 = 235372107
BaseRepresentation
bin10100000000000001111000
3100212101001012
4110000001320
52320234000
6304213052
762364500
oct24000170
910771035
105243000
112a61164
12190a188
131117589
149a6a00
156d8735
hex500078

5243000 has 96 divisors (see below), whose sum is σ = 14405040. Its totient is φ = 1780800.

The previous prime is 5242981. The next prime is 5243003. The reversal of 5243000 is 3425.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5243003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48947 + ... + 49053.

Almost surely, 25243000 is an apocalyptic number.

5243000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5243000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7202520).

5243000 is an abundant number, since it is smaller than the sum of its proper divisors (9162040).

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

5243000 is a wasteful number, since it uses less digits than its factorization.

5243000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 5243000 is about 2289.7598127315. The cubic root of 5243000 is about 173.7240528512.

Adding to 5243000 its reverse (3425), we get a palindrome (5246425).

The spelling of 5243000 in words is "five million, two hundred forty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 107 125 140 175 196 200 214 245 250 280 350 392 428 490 500 535 700 749 856 875 980 1000 1070 1225 1400 1498 1750 1960 2140 2450 2675 2996 3500 3745 4280 4900 5243 5350 5992 6125 7000 7490 9800 10486 10700 12250 13375 14980 18725 20972 21400 24500 26215 26750 29960 37450 41944 49000 52430 53500 74900 93625 104860 107000 131075 149800 187250 209720 262150 374500 524300 655375 749000 1048600 1310750 2621500 5243000