Search a number
-
+
163998432 = 25341331157
BaseRepresentation
bin10011100011001…
…10101011100000
3102102120222120000
421301212223200
5313440422212
624135020000
74030651353
oct1161465340
9372528500
10163998432
11846334a4
1246b0a600
1327c906c0
1417ad029a
15e5e71dc
hex9c66ae0

163998432 has 240 divisors, whose sum is σ = 539586432. Its totient is φ = 48522240.

The previous prime is 163998407. The next prime is 163998433. The reversal of 163998432 is 234899361.

It is a happy number.

163998432 is a `hidden beast` number, since 1 + 639 + 9 + 8 + 4 + 3 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163998433) 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 39 ways as a sum of consecutive naturals, for example, 1044498 + ... + 1044654.

Almost surely, 2163998432 is an apocalyptic number.

163998432 is a gapful number since it is divisible by the number (12) 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 163998432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269793216).

163998432 is an abundant number, since it is smaller than the sum of its proper divisors (375588000).

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

163998432 is a wasteful number, since it uses less digits than its factorization.

163998432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 206 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 163998432 is about 12806.1872546047. The cubic root of 163998432 is about 547.3686230094.

The spelling of 163998432 in words is "one hundred sixty-three million, nine hundred ninety-eight thousand, four hundred thirty-two".