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5278200 = 2335219463
BaseRepresentation
bin10100001000100111111000
3100221011022220
4110020213320
52322400300
6305044040
762602224
oct24104770
910834286
105278200
112a85654
121926620
13112a5c5
149b5784
156e3da0
hex5089f8

5278200 has 96 divisors (see below), whose sum is σ = 17260800. Its totient is φ = 1330560.

The previous prime is 5278171. The next prime is 5278223. The reversal of 5278200 is 28725.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11169 + ... + 11631.

It is an arithmetic number, because the mean of its divisors is an integer number (179800).

Almost surely, 25278200 is an apocalyptic number.

5278200 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 5278200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8630400).

5278200 is an abundant number, since it is smaller than the sum of its proper divisors (11982600).

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

5278200 is a wasteful number, since it uses less digits than its factorization.

5278200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 5278200 is about 2297.4333505023. The cubic root of 5278200 is about 174.1119638751. Note that the first 3 decimals are identical.

The spelling of 5278200 in words is "five million, two hundred seventy-eight thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 463 475 570 600 760 926 950 1140 1389 1425 1852 1900 2280 2315 2778 2850 3704 3800 4630 5556 5700 6945 8797 9260 11112 11400 11575 13890 17594 18520 23150 26391 27780 34725 35188 43985 46300 52782 55560 69450 70376 87970 92600 105564 131955 138900 175940 211128 219925 263910 277800 351880 439850 527820 659775 879700 1055640 1319550 1759400 2639100 5278200