Search a number
-
+
1425509568 = 263272172971
BaseRepresentation
bin101010011110111…
…1000110011000000
310200100100101111200
41110331320303000
510404412301233
6353241341200
750216426400
oct12475706300
93610311450
101425509568
1167173248a
12339497800
131994408b2
14d7472800
1585233313
hex54f78cc0

1425509568 has 252 divisors, whose sum is σ = 5034348072. Its totient is φ = 383201280.

The previous prime is 1425509563. The next prime is 1425509609. The reversal of 1425509568 is 8659055241.

1425509568 is a `hidden beast` number, since 1 + 4 + 2 + 550 + 95 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is not an unprimeable number, because it can be changed into a prime (1425509563) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 478323 + ... + 481293.

Almost surely, 21425509568 is an apocalyptic number.

1425509568 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 1425509568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517174036).

1425509568 is an abundant number, since it is smaller than the sum of its proper divisors (3608838504).

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

1425509568 is a wasteful number, since it uses less digits than its factorization.

1425509568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 1425509568 is about 37755.9209661213. The cubic root of 1425509568 is about 1125.4426749747.

The spelling of 1425509568 in words is "one billion, four hundred twenty-five million, five hundred nine thousand, five hundred sixty-eight".