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163429056 = 2633759229
BaseRepresentation
bin10011011110110…
…11101011000000
3102101112001112000
421233123223000
5313314212211
624114504000
74023060360
oct1157335300
9371461460
10163429056
118428473a
1246895000
1327b214ab
14179c29a0
15e533656
hex9bdbac0

163429056 has 224 divisors, whose sum is σ = 560832000. Its totient is φ = 45702144.

The previous prime is 163429031. The next prime is 163429087. The reversal of 163429056 is 650924361.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1634290562 = 53418112690102272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 163429056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 713550 + ... + 713778.

Almost surely, 2163429056 is an apocalyptic number.

163429056 is a gapful number since it is divisible by the number (16) 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 163429056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280416000).

163429056 is an abundant number, since it is smaller than the sum of its proper divisors (397402944).

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

163429056 is a wasteful number, since it uses less digits than its factorization.

163429056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 163429056 is about 12783.9374216241. The cubic root of 163429056 is about 546.7344300955.

The spelling of 163429056 in words is "one hundred sixty-three million, four hundred twenty-nine thousand, fifty-six".