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5285250 = 2365329
BaseRepresentation
bin10100001010010110000010
3100221112000000
4110022112002
52323112000
6305140430
762631615
oct24122602
910845000
105285250
112a8a983
12192a716
131130889
149b817c
156e6000
hex50a582

5285250 has 112 divisors (see below), whose sum is σ = 15345720. Its totient is φ = 1360800.

The previous prime is 5285243. The next prime is 5285251. The reversal of 5285250 is 525825.

It can be written as a sum of positive squares in 4 ways, for example, as 1610361 + 3674889 = 1269^2 + 1917^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5285251) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 182236 + ... + 182264.

Almost surely, 25285250 is an apocalyptic number.

5285250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5285250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7672860).

5285250 is an abundant number, since it is smaller than the sum of its proper divisors (10060470).

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

5285250 is an equidigital number, since it uses as much as digits as its factorization.

5285250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 5285250 is about 2298.9671594001. The cubic root of 5285250 is about 174.1894488283.

It can be divided in two parts, 528 and 5250, that added together give a triangular number (5778 = T107).

The spelling of 5285250 in words is "five million, two hundred eighty-five thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 29 30 45 50 54 58 75 81 87 90 125 135 145 150 162 174 225 243 250 261 270 290 375 405 435 450 486 522 675 725 729 750 783 810 870 1125 1215 1305 1350 1450 1458 1566 2025 2175 2250 2349 2430 2610 3375 3625 3645 3915 4050 4350 4698 6075 6525 6750 7047 7250 7290 7830 10125 10875 11745 12150 13050 14094 18225 19575 20250 21141 21750 23490 30375 32625 35235 36450 39150 42282 58725 60750 65250 70470 91125 97875 105705 117450 176175 182250 195750 211410 293625 352350 528525 587250 880875 1057050 1761750 2642625 5285250