Search a number
-
+
1425908736 = 21032723312
BaseRepresentation
bin101010011111101…
…1010010000000000
310200101002200001200
41110333122100000
510410013034421
6353254101200
750223011220
oct12477322000
93611080050
101425908736
1167198537a
1233964a800
131995504a5
14d7538080
15852b1726
hex54fda400

1425908736 has 396 divisors, whose sum is σ = 5073546816. Its totient is φ = 377118720.

The previous prime is 1425908723. The next prime is 1425908753. The reversal of 1425908736 is 6378095241.

1425908736 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14259087362 = 4066431446802235392, which contains 22 as substring.

1425908736 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 1425908691 and 1425908700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45997041 + ... + 45997071.

It is a 1-persistent number, because it is pandigital, but 2⋅1425908736 = 2851817472 is not.

Almost surely, 21425908736 is an apocalyptic number.

1425908736 is a gapful number since it is divisible by the number (16) 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 1425908736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536773408).

1425908736 is an abundant number, since it is smaller than the sum of its proper divisors (3647638080).

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

1425908736 is a wasteful number, since it uses less digits than its factorization.

1425908736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1425908736 is about 37761.2067603778. The cubic root of 1425908736 is about 1125.5477131511.

The spelling of 1425908736 in words is "one billion, four hundred twenty-five million, nine hundred eight thousand, seven hundred thirty-six".