Search a number
-
+
1241489808 = 243313435397
BaseRepresentation
bin100100111111111…
…1010000110010000
310012112002012212000
41021333322012100
510020310133213
6323105234000
742523326546
oct11177720620
93175065760
101241489808
11587874739
122a7932900
1316a290170
14bac4dd96
1573ed3c73
hex49ffa190

1241489808 has 320 divisors, whose sum is σ = 4042241280. Its totient is φ = 362299392.

The previous prime is 1241489803. The next prime is 1241489813. The reversal of 1241489808 is 8089841421.

1241489808 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1241489803) and next prime (1241489813).

It is a super-3 number, since 3×12414898083 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1241489803) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12798816 + ... + 12798912.

It is an arithmetic number, because the mean of its divisors is an integer number (12632004).

Almost surely, 21241489808 is an apocalyptic number.

1241489808 is a gapful number since it is divisible by the number (18) 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 1241489808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021120640).

1241489808 is an abundant number, since it is smaller than the sum of its proper divisors (2800751472).

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

1241489808 is a wasteful number, since it uses less digits than its factorization.

1241489808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 1241489808 is about 35234.7812253745. The cubic root of 1241489808 is about 1074.7671557713.

It can be divided in two parts, 124148 and 9808, that added together give a square (133956 = 3662).

The spelling of 1241489808 in words is "one billion, two hundred forty-one million, four hundred eighty-nine thousand, eight hundred eight".