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81335408 = 24711107617
BaseRepresentation
bin1001101100100…
…01010001110000
312200001021012112
410312101101300
5131310213113
612023144452
72005224320
oct466212160
9180037175
1081335408
1141a03550
12232a5128
1313b0a17b
14ab33280
1572195a8
hex4d91470

81335408 has 80 divisors (see below), whose sum is σ = 198630144. Its totient is φ = 31342080.

The previous prime is 81335381. The next prime is 81335461. The reversal of 81335408 is 80453318.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131516 + ... + 132132.

Almost surely, 281335408 is an apocalyptic number.

81335408 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81335408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99315072).

81335408 is an abundant number, since it is smaller than the sum of its proper divisors (117294736).

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

81335408 is a wasteful number, since it uses less digits than its factorization.

81335408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 81335408 is about 9018.6145277421. The cubic root of 81335408 is about 433.2712610629.

The spelling of 81335408 in words is "eighty-one million, three hundred thirty-five thousand, four hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 107 112 154 176 214 308 428 616 617 749 856 1177 1232 1234 1498 1712 2354 2468 2996 4319 4708 4936 5992 6787 8239 8638 9416 9872 11984 13574 16478 17276 18832 27148 32956 34552 47509 54296 65912 66019 69104 95018 108592 131824 132038 190036 264076 380072 462133 528152 726209 760144 924266 1056304 1452418 1848532 2904836 3697064 5083463 5809672 7394128 10166926 11619344 20333852 40667704 81335408