Search a number
-
+
2025467136 = 28327311233
BaseRepresentation
bin111100010111010…
…0010110100000000
312020011021101120100
41320232202310000
513122004422021
6532552442400
7101123121000
oct17056426400
95204241510
102025467136
1194a361490
124863a9400
13263823084
14153008000
15bcc43626
hex78ba2d00

2025467136 has 432 divisors, whose sum is σ = 7461417600. Its totient is φ = 523837440.

The previous prime is 2025467113. The next prime is 2025467137. The reversal of 2025467136 is 6317645202.

It is a super-3 number, since 3×20254671363 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2025467136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2025467137) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8692876 + ... + 8693108.

It is an arithmetic number, because the mean of its divisors is an integer number (17271800).

Almost surely, 22025467136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2025467136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3730708800).

2025467136 is an abundant number, since it is smaller than the sum of its proper divisors (5435950464).

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

2025467136 is a wasteful number, since it uses less digits than its factorization.

2025467136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2025467136 is about 45005.1901006984. The cubic root of 2025467136 is about 1265.2462738709.

The spelling of 2025467136 in words is "two billion, twenty-five million, four hundred sixty-seven thousand, one hundred thirty-six".