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83014824 = 2335696079
BaseRepresentation
bin1001111001010…
…11010010101000
312210012120221010
410330223102220
5132222433244
612123143520
72025420504
oct474532250
9183176833
1083014824
11429502a2
1223974ba0
13142776c9
14b04d304
15744beb9
hex4f2b4a8

83014824 has 32 divisors (see below), whose sum is σ = 207936000. Its totient is φ = 27618432.

The previous prime is 83014793. The next prime is 83014837. The reversal of 83014824 is 42841038.

It is a super-2 number, since 2×830148242 = 13782922007501952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 83014791 and 83014800.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10617 + ... + 16695.

It is an arithmetic number, because the mean of its divisors is an integer number (6498000).

Almost surely, 283014824 is an apocalyptic number.

It is an amenable number.

83014824 is an abundant number, since it is smaller than the sum of its proper divisors (124921176).

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

83014824 is a wasteful number, since it uses less digits than its factorization.

83014824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6657 (or 6653 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 83014824 is about 9111.2471155161. The cubic root of 83014824 is about 436.2330348107.

It can be divided in two parts, 83014 and 824, that added together give a palindrome (83838).

The spelling of 83014824 in words is "eighty-three million, fourteen thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 569 1138 1707 2276 3414 4552 6079 6828 12158 13656 18237 24316 36474 48632 72948 145896 3458951 6917902 10376853 13835804 20753706 27671608 41507412 83014824