Search a number
-
+
250820048300 = 2252311034871613
BaseRepresentation
bin1110100110011000001…
…0100011010110101100
3212222102002011121220112
43221212002203112230
513102134413021200
6311120344035152
724056361143063
oct3514602432654
9788362147815
10250820048300
1197410418718
124073b162ab8
131a862c41183
14c1d56b91da
1567ced01535
hex3a660a35ac

250820048300 has 144 divisors (see below), whose sum is σ = 568808927232. Its totient is φ = 95892076800.

The previous prime is 250820048299. The next prime is 250820048309. The reversal of 250820048300 is 3840028052.

It is not an unprimeable number, because it can be changed into a prime (250820048309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155498294 + ... + 155499906.

Almost surely, 2250820048300 is an apocalyptic number.

250820048300 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 250820048300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284404463616).

250820048300 is an abundant number, since it is smaller than the sum of its proper divisors (317988878932).

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

250820048300 is a wasteful number, since it uses less digits than its factorization.

250820048300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The spelling of 250820048300 in words is "two hundred fifty billion, eight hundred twenty million, forty-eight thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 103 124 155 206 310 412 487 515 620 775 974 1030 1550 1613 1948 2060 2435 2575 3100 3193 3226 4870 5150 6386 6452 8065 9740 10300 12175 12772 15097 15965 16130 24350 30194 31930 32260 40325 48700 50003 50161 60388 63860 75485 79825 80650 100006 100322 150970 159650 161300 166139 200012 200644 250015 250805 301940 319300 332278 377425 500030 501610 664556 754850 785531 830695 1000060 1003220 1250075 1254025 1509700 1554991 1571062 1661390 2500150 2508050 3109982 3142124 3322780 3927655 4153475 5000300 5016100 5150309 6219964 7774955 7855310 8306950 10300618 15549910 15710620 16613900 19638275 20601236 24351461 25751545 31099820 38874775 39276550 48702922 51503090 77749550 78553100 80909693 97405844 103006180 121757305 128757725 155499100 161819386 243514610 257515450 323638772 404548465 487029220 515030900 608786525 809096930 1217573050 1618193860 2022742325 2435146100 2508200483 4045484650 5016400966 8090969300 10032801932 12541002415 25082004830 50164009660 62705012075 125410024150 250820048300