Search a number
-
+
81632826 = 23311532593
BaseRepresentation
bin1001101110110…
…01111000111010
312200121101012000
410313121320322
5131344222301
612033401430
72010603402
oct467317072
9180541160
1081632826
1142096a50
1223409276
1313bb2662
14abad802
157277786
hex4dd9e3a

81632826 has 64 divisors (see below), whose sum is σ = 201709440. Its totient is φ = 24261120.

The previous prime is 81632821. The next prime is 81632849. The reversal of 81632826 is 62823618.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81632821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30186 + ... + 32778.

It is an arithmetic number, because the mean of its divisors is an integer number (3151710).

Almost surely, 281632826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81632826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100854720).

81632826 is an abundant number, since it is smaller than the sum of its proper divisors (120076614).

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

81632826 is a wasteful number, since it uses less digits than its factorization.

81632826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2668 (or 2662 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 81632826 is about 9035.0885994549. The cubic root of 81632826 is about 433.7987308874.

The spelling of 81632826 in words is "eighty-one million, six hundred thirty-two thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 53 54 66 99 106 159 198 297 318 477 583 594 954 1166 1431 1749 2593 2862 3498 5186 5247 7779 10494 15558 15741 23337 28523 31482 46674 57046 70011 85569 137429 140022 171138 256707 274858 412287 513414 770121 824574 1236861 1511719 1540242 2473722 3023438 3710583 4535157 7421166 9070314 13605471 27210942 40816413 81632826