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81452406 = 23721743379
BaseRepresentation
bin1001101101011…
…01110101110110
312200021012200210
410312231311312
5131322434111
612025450250
72006222400
oct466556566
9180235623
1081452406
1141a83442
1223340986
1313b4b4b9
14ab63b70
15723e0a6
hex4dadd76

81452406 has 96 divisors (see below), whose sum is σ = 205856640. Its totient is φ = 21337344.

The previous prime is 81452401. The next prime is 81452447. The reversal of 81452406 is 60425418.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81452401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214725 + ... + 215103.

It is an arithmetic number, because the mean of its divisors is an integer number (2144340).

Almost surely, 281452406 is an apocalyptic number.

81452406 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 81452406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102928320).

81452406 is an abundant number, since it is smaller than the sum of its proper divisors (124404234).

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

81452406 is a wasteful number, since it uses less digits than its factorization.

81452406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 81452406 is about 9025.0986698207. The cubic root of 81452406 is about 433.4789098001.

The spelling of 81452406 in words is "eighty-one million, four hundred fifty-two thousand, four hundred six".

Divisors: 1 2 3 6 7 14 17 21 34 42 43 49 51 86 98 102 119 129 147 238 258 294 301 357 379 602 714 731 758 833 903 1137 1462 1666 1806 2107 2193 2274 2499 2653 4214 4386 4998 5117 5306 6321 6443 7959 10234 12642 12886 15351 15918 16297 18571 19329 30702 32594 35819 37142 38658 45101 48891 55713 71638 90202 97782 107457 111426 114079 135303 214914 228158 270606 277049 315707 342237 554098 631414 684474 798553 831147 947121 1597106 1662294 1894242 1939343 2395659 3878686 4791318 5818029 11636058 13575401 27150802 40726203 81452406