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81524214 = 232172631013
BaseRepresentation
bin1001101101111…
…11010111110110
312200101212012100
410312333113312
5131332233324
612031202530
72006641632
oct466772766
9180355170
1081524214
1142022392
1223376446
1313b750a5
14ab81dc2
1572554c9
hex4dbf5f6

81524214 has 48 divisors (see below), whose sum is σ = 187922592. Its totient is φ = 25453824.

The previous prime is 81524207. The next prime is 81524227. The reversal of 81524214 is 41242518.

It is a super-3 number, since 3×815242143 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79972 + ... + 80984.

It is an arithmetic number, because the mean of its divisors is an integer number (3915054).

Almost surely, 281524214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81524214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93961296).

81524214 is an abundant number, since it is smaller than the sum of its proper divisors (106398378).

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

81524214 is a wasteful number, since it uses less digits than its factorization.

81524214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1298 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 81524214 is about 9029.0760324631. The cubic root of 81524214 is about 433.6062566044.

The spelling of 81524214 in words is "eighty-one million, five hundred twenty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 263 306 526 789 1013 1578 2026 2367 3039 4471 4734 6078 8942 9117 13413 17221 18234 26826 34442 40239 51663 80478 103326 154989 266419 309978 532838 799257 1598514 2397771 4529123 4795542 9058246 13587369 27174738 40762107 81524214