Search a number
-
+
2404122500 = 22541373973
BaseRepresentation
bin1000111101001011…
…1111111110000100
320012112210002002002
42033102333332010
514410423410000
61034320404432
7113401463333
oct21722777604
96175702062
102404122500
1110240788aa
12571176718
132c41001c0
1418b413d1a
15e10dc8d5
hex8f4bff84

2404122500 has 60 divisors (see below), whose sum is σ = 5661822012. Its totient is φ = 887664000.

The previous prime is 2404122467. The next prime is 2404122503. The reversal of 2404122500 is 52214042.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 1991301376 + 412821124 = 44624^2 + 20318^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2404122503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4487 + ... + 69486.

Almost surely, 22404122500 is an apocalyptic number.

2404122500 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 2404122500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830911006).

2404122500 is an abundant number, since it is smaller than the sum of its proper divisors (3257699512).

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

2404122500 is a wasteful number, since it uses less digits than its factorization.

2404122500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74010 (or 73993 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2404122500 is about 49031.8518924179. The cubic root of 2404122500 is about 1339.6320553592.

Adding to 2404122500 its reverse (52214042), we get a palindrome (2456336542).

The spelling of 2404122500 in words is "two billion, four hundred four million, one hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 625 650 1250 1300 1625 2500 3250 6500 8125 16250 32500 73973 147946 295892 369865 739730 961649 1479460 1849325 1923298 3698650 3846596 4808245 7397300 9246625 9616490 18493250 19232980 24041225 36986500 46233125 48082450 92466250 96164900 120206125 184932500 240412250 480824500 601030625 1202061250 2404122500