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83348945 = 5891571193
BaseRepresentation
bin1001111011111…
…00110111010001
312210211120020222
410331330313101
5132314131240
612134242425
72031311561
oct475746721
9183746228
1083348945
1143059329
1223ab6415
1314363804
14b0d8da1
1574b5eb5
hex4f7cdd1

83348945 has 16 divisors (see below), whose sum is σ = 101872080. Its totient is φ = 65455104.

The previous prime is 83348911. The next prime is 83348971. The reversal of 83348945 is 54984338.

It can be written as a sum of positive squares in 8 ways, for example, as 9096256 + 74252689 = 3016^2 + 8617^2 .

It is a cyclic number.

It is not a de Polignac number, because 83348945 - 210 = 83347921 is a prime.

It is a super-2 number, since 2×833489452 = 13894093265226050, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 83348896 and 83348905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69269 + ... + 70461.

It is an arithmetic number, because the mean of its divisors is an integer number (6367005).

Almost surely, 283348945 is an apocalyptic number.

It is an amenable number.

83348945 is a deficient number, since it is larger than the sum of its proper divisors (18523135).

83348945 is a wasteful number, since it uses less digits than its factorization.

83348945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444.

The product of its digits is 414720, while the sum is 44.

The square root of 83348945 is about 9129.5643379079. The cubic root of 83348945 is about 436.8175067591.

The spelling of 83348945 in words is "eighty-three million, three hundred forty-eight thousand, nine hundred forty-five".

Divisors: 1 5 89 157 445 785 1193 5965 13973 69865 106177 187301 530885 936505 16669789 83348945