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163273248 = 253229113173
BaseRepresentation
bin10011011101101…
…01101000100000
3102101020010210100
421232311220200
5313244220443
624111302400
74021541205
oct1156655040
9371203710
10163273248
1184188676
124681aa00
1327a985b8
1417981cac
15e5023d3
hex9bb5a20

163273248 has 144 divisors (see below), whose sum is σ = 487370520. Its totient is φ = 51781632.

The previous prime is 163273247. The next prime is 163273261. The reversal of 163273248 is 842372361.

It is a happy number.

163273248 is a `hidden beast` number, since 1 + 6 + 327 + 324 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 130233744 + 33039504 = 11412^2 + 5748^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (163273247) 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 23 ways as a sum of consecutive naturals, for example, 943690 + ... + 943862.

Almost surely, 2163273248 is an apocalyptic number.

163273248 is a gapful number since it is divisible by the number (18) 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 163273248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243685260).

163273248 is an abundant number, since it is smaller than the sum of its proper divisors (324097272).

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

163273248 is a wasteful number, since it uses less digits than its factorization.

163273248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 320 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 163273248 is about 12777.8420713358. The cubic root of 163273248 is about 546.5606285174.

The spelling of 163273248 in words is "one hundred sixty-three million, two hundred seventy-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 113 116 144 173 174 226 232 261 288 339 346 348 452 464 519 522 678 692 696 904 928 1017 1038 1044 1356 1384 1392 1557 1808 2034 2076 2088 2712 2768 2784 3114 3277 3616 4068 4152 4176 5017 5424 5536 6228 6554 8136 8304 8352 9831 10034 10848 12456 13108 15051 16272 16608 19549 19662 20068 24912 26216 29493 30102 32544 39098 39324 40136 45153 49824 52432 58647 58986 60204 78196 78648 80272 90306 104864 117294 117972 120408 156392 157296 160544 175941 180612 234588 235944 240816 312784 314592 351882 361224 469176 471888 481632 566921 625568 703764 722448 938352 943776 1133842 1407528 1444896 1700763 1876704 2267684 2815056 3401526 4535368 5102289 5630112 6803052 9070736 10204578 13606104 18141472 20409156 27212208 40818312 54424416 81636624 163273248