Search a number
-
+
4689469440 = 21332512721
BaseRepresentation
bin1000101111000001…
…11010000000000000
3110002211001201201100
410113200322000000
534101001010230
62053155334400
7224131555365
oct42740720000
913084051640
104689469440
111a970a0887
12aaa5b1400
135997148b6
14326b4a46c
151c6a67660
hex11783a000

4689469440 has 168 divisors, whose sum is σ = 16257113028. Its totient is φ = 1250426880.

The previous prime is 4689469409. The next prime is 4689469457. The reversal of 4689469440 is 449649864.

It is a happy number.

4689469440 is a `hidden beast` number, since 468 + 94 + 6 + 94 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4593586176 + 95883264 = 67776^2 + 9792^2 .

It is a super-2 number, since 2×46894694402 = 43982247257387827200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 362280 + ... + 375000.

Almost surely, 24689469440 is an apocalyptic number.

4689469440 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 4689469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8128556514).

4689469440 is an abundant number, since it is smaller than the sum of its proper divisors (11567643588).

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

4689469440 is a wasteful number, since it uses less digits than its factorization.

4689469440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12758 (or 12731 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The square root of 4689469440 is about 68479.7009339264. The cubic root of 4689469440 is about 1673.8167260375.

The spelling of 4689469440 in words is "four billion, six hundred eighty-nine million, four hundred sixty-nine thousand, four hundred forty".