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5238000 = 24335397
BaseRepresentation
bin10011111110110011110000
3100212010012000
4103332303300
52320104000
6304134000
762344065
oct23766360
910763160
105238000
112a58429
121907300
131115211
149a4c6c
156d7000
hex4fecf0

5238000 has 160 divisors (see below), whose sum is σ = 18957120. Its totient is φ = 1382400.

The previous prime is 5237987. The next prime is 5238007. The reversal of 5238000 is 8325.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5238007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53952 + ... + 54048.

It is an arithmetic number, because the mean of its divisors is an integer number (118482).

Almost surely, 25238000 is an apocalyptic number.

5238000 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 5238000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9478560).

5238000 is an abundant number, since it is smaller than the sum of its proper divisors (13719120).

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

5238000 is a wasteful number, since it uses less digits than its factorization.

5238000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5238000 is about 2288.6677347313. The cubic root of 5238000 is about 173.6688111619.

The spelling of 5238000 in words is "five million, two hundred thirty-eight thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 97 100 108 120 125 135 144 150 180 194 200 216 225 240 250 270 291 300 360 375 388 400 432 450 485 500 540 582 600 675 720 750 776 873 900 970 1000 1080 1125 1164 1200 1350 1455 1500 1552 1746 1800 1940 2000 2160 2250 2328 2425 2619 2700 2910 3000 3375 3492 3600 3880 4365 4500 4656 4850 5238 5400 5820 6000 6750 6984 7275 7760 8730 9000 9700 10476 10800 11640 12125 13095 13500 13968 14550 17460 18000 19400 20952 21825 23280 24250 26190 27000 29100 34920 36375 38800 41904 43650 48500 52380 54000 58200 65475 69840 72750 87300 97000 104760 109125 116400 130950 145500 174600 194000 209520 218250 261900 291000 327375 349200 436500 523800 582000 654750 873000 1047600 1309500 1746000 2619000 5238000