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5282200 = 23527411
BaseRepresentation
bin10100001001100110011000
3100221100211001
4110021212120
52323012300
6305114344
762620000
oct24114630
910840731
105282200
112a88660
1219289b4
13112c381
149b7000
156e516a
hex509998

5282200 has 120 divisors (see below), whose sum is σ = 15629580. Its totient is φ = 1646400.

The previous prime is 5282159. The next prime is 5282219. The reversal of 5282200 is 22825.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 480195 + ... + 480205.

Almost surely, 25282200 is an apocalyptic number.

5282200 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 5282200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7814790).

5282200 is an abundant number, since it is smaller than the sum of its proper divisors (10347380).

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

5282200 is a wasteful number, since it uses less digits than its factorization.

5282200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 5282200 is about 2298.3037223135. The cubic root of 5282200 is about 174.1559354310.

The spelling of 5282200 in words is "five million, two hundred eighty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 49 50 55 56 70 77 88 98 100 110 140 154 175 196 200 220 245 275 280 308 343 350 385 392 440 490 539 550 616 686 700 770 980 1078 1100 1225 1372 1400 1540 1715 1925 1960 2156 2200 2401 2450 2695 2744 3080 3430 3773 3850 4312 4802 4900 5390 6860 7546 7700 8575 9604 9800 10780 12005 13475 13720 15092 15400 17150 18865 19208 21560 24010 26411 26950 30184 34300 37730 48020 52822 53900 60025 68600 75460 94325 96040 105644 107800 120050 132055 150920 188650 211288 240100 264110 377300 480200 528220 660275 754600 1056440 1320550 2641100 5282200