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82481344 = 2611210651
BaseRepresentation
bin1001110101010…
…01000011000000
312202012111010121
410322221003000
5132103400334
612103510024
72021036251
oct472510300
9182174117
1082481344
1142616500
1223758314
131411b93a
14ad50b28
157393db4
hex4ea90c0

82481344 has 42 divisors (see below), whose sum is σ = 179922932. Its totient is φ = 37488000.

The previous prime is 82481341. The next prime is 82481369. The reversal of 82481344 is 44318428.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (82481341) 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, 2419 + ... + 13069.

Almost surely, 282481344 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 82481344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89961466).

82481344 is an abundant number, since it is smaller than the sum of its proper divisors (97441588).

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

82481344 is a wasteful number, since it uses less digits than its factorization.

82481344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10685 (or 10664 counting only the distinct ones).

The product of its digits is 24576, while the sum is 34.

The square root of 82481344 is about 9081.9240252273. The cubic root of 82481344 is about 435.2965679233.

The spelling of 82481344 in words is "eighty-two million, four hundred eighty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 10651 21302 42604 85208 117161 170416 234322 340832 468644 681664 937288 1288771 1874576 2577542 3749152 5155084 7498304 10310168 20620336 41240672 82481344