Search a number
-
+
38892150 = 236521197
BaseRepresentation
bin1001010001011…
…1001001110110
32201011221000000
42110113021312
534424022100
63505332130
7651402123
oct224271166
981157000
1038892150
111aa54280
1211037046
13809950b
14524574a
153633900
hex2517276

38892150 has 168 divisors, whose sum is σ = 119539224. Its totient is φ = 9331200.

The previous prime is 38892131. The next prime is 38892157. The reversal of 38892150 is 5129883.

38892150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38892157) 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 83 ways as a sum of consecutive naturals, for example, 400902 + ... + 400998.

It is an arithmetic number, because the mean of its divisors is an integer number (711543).

Almost surely, 238892150 is an apocalyptic number.

38892150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38892150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59769612).

38892150 is an abundant number, since it is smaller than the sum of its proper divisors (80647074).

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

38892150 is a wasteful number, since it uses less digits than its factorization.

38892150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 38892150 is about 6236.3571097236. The cubic root of 38892150 is about 338.8082555730.

The spelling of 38892150 in words is "thirty-eight million, eight hundred ninety-two thousand, one hundred fifty".