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255728200 = 235271314051
BaseRepresentation
bin11110011111000…
…01101001001000
3122211012100010211
433033201221020
51010431300300
641213050504
76223440160
oct1717415110
9584170124
10255728200
11121396422
1271786a34
1340c99a80
1425d6b5a0
15176b64ba
hexf3e1a48

255728200 has 96 divisors (see below), whose sum is σ = 731828160. Its totient is φ = 80928000.

The previous prime is 255728197. The next prime is 255728219. The reversal of 255728200 is 2827552.

255728200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 11175 + ... + 25225.

It is an arithmetic number, because the mean of its divisors is an integer number (7623210).

Almost surely, 2255728200 is an apocalyptic number.

255728200 is a gapful number since it is divisible by the number (20) 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 255728200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365914080).

255728200 is an abundant number, since it is smaller than the sum of its proper divisors (476099960).

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

255728200 is a wasteful number, since it uses less digits than its factorization.

255728200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14087 (or 14078 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 31.

The square root of 255728200 is about 15991.5039943090. The cubic root of 255728200 is about 634.7356247504.

The spelling of 255728200 in words is "two hundred fifty-five million, seven hundred twenty-eight thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 130 140 175 182 200 260 280 325 350 364 455 520 650 700 728 910 1300 1400 1820 2275 2600 3640 4550 9100 14051 18200 28102 56204 70255 98357 112408 140510 182663 196714 281020 351275 365326 393428 491785 562040 702550 730652 786856 913315 983570 1278641 1405100 1461304 1826630 1967140 2458925 2557282 2810200 3653260 3934280 4566575 4917850 5114564 6393205 7306520 9133150 9835700 10229128 12786410 18266300 19671400 25572820 31966025 36532600 51145640 63932050 127864100 255728200