Search a number
-
+
538690176 = 273623251
BaseRepresentation
bin100000000110111…
…100001010000000
31101112122022000000
4200012330022000
52100401041201
6125242000000
716230535203
oct4006741200
91345568000
10538690176
112570929a2
121304a6000
13877b06ab
145178793a
153245bd86
hex201bc280

538690176 has 224 divisors, whose sum is σ = 1685668320. Its totient is φ = 171072000.

The previous prime is 538690157. The next prime is 538690183. The reversal of 538690176 is 671096835.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2146051 + ... + 2146301.

It is an arithmetic number, because the mean of its divisors is an integer number (7525305).

Almost surely, 2538690176 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 538690176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842834160).

538690176 is an abundant number, since it is smaller than the sum of its proper divisors (1146978144).

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

538690176 is an equidigital number, since it uses as much as digits as its factorization.

538690176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 538690176 is about 23209.7000411466. The cubic root of 538690176 is about 813.6663427771. Note that the first 3 decimals are identical.

The spelling of 538690176 in words is "five hundred thirty-eight million, six hundred ninety thousand, one hundred seventy-six".