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81351450 = 23252293617
BaseRepresentation
bin1001101100101…
…01001100011010
312200002002012200
410312111030122
5131311221300
612023351030
72005322145
oct466251432
9180062180
1081351450
1141a14604
12232b2476
1313b1456b
14ab3905c
15721e200
hex4d9531a

81351450 has 72 divisors (see below), whose sum is σ = 219665628. Its totient is φ = 21584640.

The previous prime is 81351379. The next prime is 81351451. The reversal of 81351450 is 5415318.

It can be written as a sum of positive squares in 6 ways, for example, as 26842761 + 54508689 = 5181^2 + 7383^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (81351451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 131542 + ... + 132158.

Almost surely, 281351450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81351450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109832814).

81351450 is an abundant number, since it is smaller than the sum of its proper divisors (138314178).

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

81351450 is a wasteful number, since it uses less digits than its factorization.

81351450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 81351450 is about 9019.5038666215. The cubic root of 81351450 is about 433.2997442735.

Adding to 81351450 its reverse (5415318), we get a palindrome (86766768).

The spelling of 81351450 in words is "eighty-one million, three hundred fifty-one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 293 450 586 617 879 1234 1465 1758 1851 2637 2930 3085 3702 4395 5274 5553 6170 7325 8790 9255 11106 13185 14650 15425 18510 21975 26370 27765 30850 43950 46275 55530 65925 92550 131850 138825 180781 277650 361562 542343 903905 1084686 1627029 1807810 2711715 3254058 4519525 5423430 8135145 9039050 13558575 16270290 27117150 40675725 81351450