Search a number
-
+
2830505250 = 23537095323
BaseRepresentation
bin1010100010110110…
…0001010100100010
321022021002120020210
42220231201110202
521244102132000
61144511314550
7130066616616
oct25055412442
97267076223
102830505250
111222823541
1266bb1ba56
1336154b1a1
141cbcc5346
15118763350
hexa8b61522

2830505250 has 64 divisors (see below), whose sum is σ = 7076234880. Its totient is φ = 753595200.

The previous prime is 2830505239. The next prime is 2830505257. The reversal of 2830505250 is 525050382.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2830505257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 529089 + ... + 534411.

It is an arithmetic number, because the mean of its divisors is an integer number (110566170).

Almost surely, 22830505250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2830505250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538117440).

2830505250 is an abundant number, since it is smaller than the sum of its proper divisors (4245729630).

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

2830505250 is a wasteful number, since it uses less digits than its factorization.

2830505250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6052 (or 6042 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 2830505250 is about 53202.4928927207. The cubic root of 2830505250 is about 1414.5598317913.

The spelling of 2830505250 in words is "two billion, eight hundred thirty million, five hundred five thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 150 250 375 709 750 1418 2127 3545 4254 5323 7090 10635 10646 15969 17725 21270 26615 31938 35450 53175 53230 79845 88625 106350 133075 159690 177250 265875 266150 399225 531750 665375 798450 1330750 1996125 3774007 3992250 7548014 11322021 18870035 22644042 37740070 56610105 94350175 113220210 188700350 283050525 471750875 566101050 943501750 1415252625 2830505250