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81335296 = 210721621
BaseRepresentation
bin1001101100100…
…01010000000000
312200001021001101
410312101100000
5131310212141
612023144144
72005224100
oct466212000
9180037041
1081335296
1141a03459
12232a5054
1313b0a0c3
14ab33200
157219531
hex4d91400

81335296 has 66 divisors (see below), whose sum is σ = 189253338. Its totient is φ = 34836480.

The previous prime is 81335251. The next prime is 81335297. The reversal of 81335296 is 69253318.

It can be written as a sum of positive squares in only one way, i.e., 76317696 + 5017600 = 8736^2 + 2240^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81335297) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49366 + ... + 50986.

Almost surely, 281335296 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 81335296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94626669).

81335296 is an abundant number, since it is smaller than the sum of its proper divisors (107918042).

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

81335296 is a wasteful number, since it uses less digits than its factorization.

81335296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1630 counting only the distinct ones).

The product of its digits is 38880, while the sum is 37.

The square root of 81335296 is about 9018.6083183604. The cubic root of 81335296 is about 433.2710621893.

The spelling of 81335296 in words is "eighty-one million, three hundred thirty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1621 1792 3136 3242 3584 6272 6484 7168 11347 12544 12968 22694 25088 25936 45388 50176 51872 79429 90776 103744 158858 181552 207488 317716 363104 414976 635432 726208 829952 1270864 1452416 1659904 2541728 2904832 5083456 5809664 10166912 11619328 20333824 40667648 81335296