Search a number
-
+
4450218240 = 283513239373
BaseRepresentation
bin1000010010100000…
…01111000100000000
3102111010212111202210
410021100033010000
533103223440430
62013331342120
7215165142126
oct41120170400
912433774683
104450218240
111984039916
12a42451940
1355bc96840
1430306b916
151b0a582b0
hex10940f100

4450218240 has 288 divisors, whose sum is σ = 15411432960. Its totient is φ = 1087930368.

The previous prime is 4450218239. The next prime is 4450218251. The reversal of 4450218240 is 428120544.

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

It is a junction number, because it is equal to n+sod(n) for n = 4450218198 and 4450218207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11930694 + ... + 11931066.

It is an arithmetic number, because the mean of its divisors is an integer number (53511920).

Almost surely, 24450218240 is an apocalyptic number.

4450218240 is a gapful number since it is divisible by the number (40) 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 4450218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7705716480).

4450218240 is an abundant number, since it is smaller than the sum of its proper divisors (10961214720).

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

4450218240 is a wasteful number, since it uses less digits than its factorization.

4450218240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 4450218240 is about 66709.9560785345. The cubic root of 4450218240 is about 1644.8530450172.

Adding to 4450218240 its reverse (428120544), we get a palindrome (4878338784).

The spelling of 4450218240 in words is "four billion, four hundred fifty million, two hundred eighteen thousand, two hundred forty".