Search a number
-
+
325149888 = 263721719107
BaseRepresentation
bin10011011000010…
…110010011000000
3211122211022210110
4103120112103000
51131214244023
652133031320
711025504600
oct2330262300
9748738713
10325149888
111575a1a18
1290a85540
13524952ab
143127cc00
151d82aa93
hex136164c0

325149888 has 336 divisors, whose sum is σ = 1125809280. Its totient is φ = 82059264.

The previous prime is 325149887. The next prime is 325149911. The reversal of 325149888 is 888941523.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325149887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3038731 + ... + 3038837.

Almost surely, 2325149888 is an apocalyptic number.

325149888 is a gapful number since it is divisible by the number (38) 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 325149888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562904640).

325149888 is an abundant number, since it is smaller than the sum of its proper divisors (800659392).

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

325149888 is a wasteful number, since it uses less digits than its factorization.

325149888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 155 counting only the distinct ones).

The product of its digits is 552960, while the sum is 48.

The square root of 325149888 is about 18031.9130432686. The cubic root of 325149888 is about 687.6401128424.

The spelling of 325149888 in words is "three hundred twenty-five million, one hundred forty-nine thousand, eight hundred eighty-eight".