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163894272 = 2103311721
BaseRepresentation
bin10011100010011…
…01010000000000
3102102101200200020
421301031100000
5313424104042
624132453440
74030035603
oct1161152000
9372350606
10163894272
1184572213
1246a7a280
1327c55179
1417aa433a
15e5c63ec
hex9c4d400

163894272 has 88 divisors (see below), whose sum is σ = 451191552. Its totient is φ = 52838400.

The previous prime is 163894267. The next prime is 163894273. The reversal of 163894272 is 272498361.

It is a super-2 number, since 2×1638942722 = 53722664788819968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163894273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94372 + ... + 96092.

Almost surely, 2163894272 is an apocalyptic number.

163894272 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 163894272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225595776).

163894272 is an abundant number, since it is smaller than the sum of its proper divisors (287297280).

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

163894272 is a wasteful number, since it uses less digits than its factorization.

163894272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1757 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 163894272 is about 12802.1198244666. The cubic root of 163894272 is about 547.2527154166.

The spelling of 163894272 in words is "one hundred sixty-three million, eight hundred ninety-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1024 1488 1536 1721 1984 2976 3072 3442 3968 5163 5952 6884 7936 10326 11904 13768 15872 20652 23808 27536 31744 41304 47616 53351 55072 82608 95232 106702 110144 160053 165216 213404 220288 320106 330432 426808 440576 640212 660864 853616 881152 1280424 1321728 1707232 1762304 2560848 2643456 3414464 5121696 5286912 6828928 10243392 13657856 20486784 27315712 40973568 54631424 81947136 163894272