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81304272 = 24327791021
BaseRepresentation
bin1001101100010…
…01101011010000
312122222200111100
410312021223100
5131303214042
612022344400
72005034460
oct466115320
9178880440
1081304272
1141992115
122328b100
1313ac8c4a
14ab25ba0
15721024c
hex4d89ad0

81304272 has 120 divisors (see below), whose sum is σ = 263594240. Its totient is φ = 22913280.

The previous prime is 81304247. The next prime is 81304273. The reversal of 81304272 is 27240318.

It is a super-2 number, since 2×813042722 = 13220769290899968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81304273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79122 + ... + 80142.

Almost surely, 281304272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81304272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131797120).

81304272 is an abundant number, since it is smaller than the sum of its proper divisors (182289968).

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

81304272 is a wasteful number, since it uses less digits than its factorization.

81304272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 81304272 is about 9016.8881550122. Note that the first 3 decimals coincide. The cubic root of 81304272 is about 433.2159671629.

The spelling of 81304272 in words is "eighty-one million, three hundred four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 79 84 112 126 144 158 168 237 252 316 336 474 504 553 632 711 948 1008 1021 1106 1264 1422 1659 1896 2042 2212 2844 3063 3318 3792 4084 4424 4977 5688 6126 6636 7147 8168 8848 9189 9954 11376 12252 13272 14294 16336 18378 19908 21441 24504 26544 28588 36756 39816 42882 49008 57176 64323 73512 79632 80659 85764 114352 128646 147024 161318 171528 241977 257292 322636 343056 483954 514584 564613 645272 725931 967908 1029168 1129226 1290544 1451862 1693839 1935816 2258452 2903724 3387678 3871632 4516904 5081517 5807448 6775356 9033808 10163034 11614896 13550712 20326068 27101424 40652136 81304272