Search a number
-
+
2440250500 = 225329316657
BaseRepresentation
bin1001000101110011…
…0100010010000100
320022001202120101011
42101130310102010
514444201004000
61042051012004
7114320533642
oct22134642204
96261676334
102440250500
111042504356
1258129a004
132cb73c50c
1419213a192
15e43772ba
hex91734484

2440250500 has 48 divisors (see below), whose sum is σ = 5348017584. Its totient is φ = 972710400.

The previous prime is 2440250489. The next prime is 2440250509. The reversal of 2440250500 is 50520442.

It can be written as a sum of positive squares in 8 ways, for example, as 2458624 + 2437791876 = 1568^2 + 49374^2 .

It is not an unprimeable number, because it can be changed into a prime (2440250509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138172 + ... + 154828.

It is an arithmetic number, because the mean of its divisors is an integer number (111417033).

Almost surely, 22440250500 is an apocalyptic number.

2440250500 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 2440250500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674008792).

2440250500 is an abundant number, since it is smaller than the sum of its proper divisors (2907767084).

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

2440250500 is a wasteful number, since it uses less digits than its factorization.

2440250500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16969 (or 16957 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 2440250500 is about 49398.8916879721. The cubic root of 2440250500 is about 1346.3091687654.

Adding to 2440250500 its reverse (50520442), we get a palindrome (2490770942).

The spelling of 2440250500 in words is "two billion, four hundred forty million, two hundred fifty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 293 500 586 1172 1465 2930 5860 7325 14650 16657 29300 33314 36625 66628 73250 83285 146500 166570 333140 416425 832850 1665700 2082125 4164250 4880501 8328500 9761002 19522004 24402505 48805010 97610020 122012525 244025050 488050100 610062625 1220125250 2440250500