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163402272 = 2534112521
BaseRepresentation
bin10011011110101…
…01001000100000
3102101110200210000
421233111020200
5313312333042
624114140000
74022616315
oct1157251040
9371420700
10163402272
1184266600
1246881600
1327b12247
14179b6d0c
15e52a74c
hex9bd5220

163402272 has 180 divisors, whose sum is σ = 529234398. Its totient is φ = 49420800.

The previous prime is 163402247. The next prime is 163402277. The reversal of 163402272 is 272204361.

163402272 is a `hidden beast` number, since 1 + 634 + 0 + 2 + 27 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 150700176 + 12702096 = 12276^2 + 3564^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (163402277) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 313372 + ... + 313892.

Almost surely, 2163402272 is an apocalyptic number.

163402272 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 163402272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264617199).

163402272 is an abundant number, since it is smaller than the sum of its proper divisors (365832126).

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

163402272 is a wasteful number, since it uses less digits than its factorization.

163402272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 163402272 is about 12782.8898141226. The cubic root of 163402272 is about 546.7045607944.

The spelling of 163402272 in words is "one hundred sixty-three million, four hundred two thousand, two hundred seventy-two".