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81482496 = 28317792
BaseRepresentation
bin1001101101101…
…01001100000000
312200022201222020
410312311030000
5131324414441
612030241440
72006406204
oct466651400
9180281866
1081482496
1141aa4007
1223356280
1313b5c0c4
14ab70b04
157247e66
hex4db5300

81482496 has 108 divisors (see below), whose sum is σ = 232562232. Its totient is φ = 25239552.

The previous prime is 81482461. The next prime is 81482497. The reversal of 81482496 is 69428418.

It is not an unprimeable number, because it can be changed into a prime (81482497) 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 11 ways as a sum of consecutive naturals, for example, 1031385 + ... + 1031463.

It is an arithmetic number, because the mean of its divisors is an integer number (2153354).

Almost surely, 281482496 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 81482496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116281116).

81482496 is an abundant number, since it is smaller than the sum of its proper divisors (151079736).

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

81482496 is an equidigital number, since it uses as much as digits as its factorization.

81482496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 101 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 81482496 is about 9026.7655336782. The cubic root of 81482496 is about 433.5322815592.

The spelling of 81482496 in words is "eighty-one million, four hundred eighty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 79 96 102 128 136 158 192 204 237 256 272 316 384 408 474 544 632 768 816 948 1088 1264 1343 1632 1896 2176 2528 2686 3264 3792 4029 4352 5056 5372 6241 6528 7584 8058 10112 10744 12482 13056 15168 16116 18723 20224 21488 24964 30336 32232 37446 42976 49928 60672 64464 74892 85952 99856 106097 128928 149784 171904 199712 212194 257856 299568 318291 343808 399424 424388 515712 599136 636582 798848 848776 1031424 1198272 1273164 1597696 1697552 2396544 2546328 3395104 4793088 5092656 6790208 10185312 13580416 20370624 27160832 40741248 81482496