Search a number
-
+
201452328 = 2332721129179
BaseRepresentation
bin11000000000111…
…10101100101000
3112001001211122100
430000132230220
5403032433303
631553453400
74664213400
oct1400365450
9461054570
10201452328
11a3795130
1257571260
133297537c
141ca7d800
1512a448a3
hexc01eb28

201452328 has 288 divisors, whose sum is σ = 720252000. Its totient is φ = 50238720.

The previous prime is 201452297. The next prime is 201452341. The reversal of 201452328 is 823254102.

201452328 is a `hidden beast` number, since 201 + 452 + 3 + 2 + 8 = 666.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1125343 + ... + 1125521.

It is an arithmetic number, because the mean of its divisors is an integer number (2500875).

Almost surely, 2201452328 is an apocalyptic number.

201452328 is a gapful number since it is divisible by the number (28) 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 201452328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360126000).

201452328 is an abundant number, since it is smaller than the sum of its proper divisors (518799672).

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

201452328 is a wasteful number, since it uses less digits than its factorization.

201452328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 201452328 is about 14193.3902926679. The cubic root of 201452328 is about 586.2156792858.

The spelling of 201452328 in words is "two hundred one million, four hundred fifty-two thousand, three hundred twenty-eight".