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81161472 = 283731487
BaseRepresentation
bin1001101011001…
…10110100000000
312122201102121110
410311212310000
5131234131342
612015323320
72003601240
oct465466400
9178642543
1081161472
11418a48a7
1223220540
1313a78c52
14aac9b20
1571d2c9c
hex4d66d00

81161472 has 144 divisors (see below), whose sum is σ = 255352832. Its totient is φ = 22394880.

The previous prime is 81161471. The next prime is 81161477. The reversal of 81161472 is 27416118.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81161471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166413 + ... + 166899.

Almost surely, 281161472 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 81161472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127676416).

81161472 is an abundant number, since it is smaller than the sum of its proper divisors (174191360).

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

81161472 is a wasteful number, since it uses less digits than its factorization.

81161472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 530 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 81161472 is about 9008.9662004028. The cubic root of 81161472 is about 432.9621900361.

The spelling of 81161472 in words is "eighty-one million, one hundred sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 372 384 434 448 487 496 651 672 744 768 868 896 974 992 1302 1344 1461 1488 1736 1792 1948 1984 2604 2688 2922 2976 3409 3472 3896 3968 5208 5376 5844 5952 6818 6944 7792 7936 10227 10416 11688 11904 13636 13888 15097 15584 20454 20832 23376 23808 27272 27776 30194 31168 40908 41664 45291 46752 54544 55552 60388 62336 81816 83328 90582 93504 105679 109088 120776 124672 163632 166656 181164 187008 211358 218176 241552 317037 327264 362328 374016 422716 436352 483104 634074 654528 724656 845432 872704 966208 1268148 1309056 1449312 1690864 1932416 2536296 2618112 2898624 3381728 3864832 5072592 5797248 6763456 10145184 11594496 13526912 20290368 27053824 40580736 81161472