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83094592 = 267226497
BaseRepresentation
bin1001111001111…
…10110001000000
312210100122100111
410330332301000
5132233011332
612125001104
72026202200
oct474766100
9183318314
1083094592
11429a5219
12239b3194
13142a4ac9
14b070400
157465947
hex4f3ec40

83094592 has 42 divisors (see below), whose sum is σ = 191819022. Its totient is φ = 35610624.

The previous prime is 83094559. The next prime is 83094593. The reversal of 83094592 is 29549038.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 81288256 + 1806336 = 9016^2 + 1344^2 .

It is a super-2 number, since 2×830945922 = 13809422439292928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83094593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10113 + ... + 16384.

Almost surely, 283094592 is an apocalyptic number.

It is an amenable number.

83094592 is an abundant number, since it is smaller than the sum of its proper divisors (108724430).

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

83094592 is a wasteful number, since it uses less digits than its factorization.

83094592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26523 (or 26506 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 83094592 is about 9115.6235113129. The cubic root of 83094592 is about 436.3727138684.

The spelling of 83094592 in words is "eighty-three million, ninety-four thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 26497 52994 105988 185479 211976 370958 423952 741916 847904 1298353 1483832 1695808 2596706 2967664 5193412 5935328 10386824 11870656 20773648 41547296 83094592