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163924992 = 2103372112
BaseRepresentation
bin10011100010101…
…00110000000000
3102102110020211000
421301110300000
5313431044432
624133252000
74030224300
oct1161246000
9372406730
10163924992
1184593300
1246a94000
1327c6614a
1417ab1600
15e5d057c
hex9c54c00

163924992 has 396 divisors, whose sum is σ = 620732280. Its totient is φ = 42577920.

The previous prime is 163924973. The next prime is 163925009. The reversal of 163924992 is 299429361.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

163924992 is a `hidden beast` number, since 1 + 639 + 2 + 4 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14902267 + ... + 14902277.

Almost surely, 2163924992 is an apocalyptic number.

163924992 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 163924992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310366140).

163924992 is an abundant number, since it is smaller than the sum of its proper divisors (456807288).

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

163924992 is a wasteful number, since it uses less digits than its factorization.

163924992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 23 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 163924992 is about 12803.3195695491. The cubic root of 163924992 is about 547.2869052492.

The spelling of 163924992 in words is "one hundred sixty-three million, nine hundred twenty-four thousand, nine hundred ninety-two".