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83438336 = 282911239
BaseRepresentation
bin1001111100100…
…10101100000000
312211000002212202
410332102230000
5132330011321
612140212332
72032133312
oct476225400
9184002782
1083438336
114310a503
1223b3a0a8
13143953c7
14b11d7b2
1574d270b
hex4f92b00

83438336 has 36 divisors (see below), whose sum is σ = 172309200. Its totient is φ = 40276992.

The previous prime is 83438269. The next prime is 83438359. The reversal of 83438336 is 63383438.

It is a self number, because there is not a number n which added to its sum of digits gives 83438336.

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 3 ways as a sum of consecutive naturals, for example, 1805 + ... + 13043.

Almost surely, 283438336 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 83438336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86154600).

83438336 is an abundant number, since it is smaller than the sum of its proper divisors (88870864).

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

83438336 is a wasteful number, since it uses less digits than its factorization.

83438336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11284 (or 11270 counting only the distinct ones).

The product of its digits is 124416, while the sum is 38.

The square root of 83438336 is about 9134.4587141220. The cubic root of 83438336 is about 436.9736119250.

The spelling of 83438336 in words is "eighty-three million, four hundred thirty-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 1856 3712 7424 11239 22478 44956 89912 179824 325931 359648 651862 719296 1303724 1438592 2607448 2877184 5214896 10429792 20859584 41719168 83438336