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1982553146 = 27234760337
BaseRepresentation
bin111011000101011…
…0101110000111010
312010011112010122022
41312022311300322
513030013200041
6524420554442
7100062265220
oct16612656072
95104463568
101982553146
11928110582
12473b52a22
13257979092
1414b436b10
15b90b824b
hex762b5c3a

1982553146 has 16 divisors (see below), whose sum is σ = 3400166976. Its totient is φ = 849289536.

The previous prime is 1982553143. The next prime is 1982553193. The reversal of 1982553146 is 6413552891.

It is a happy number.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 1982553097 and 1982553106.

It is not an unprimeable number, because it can be changed into a prime (1982553143) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2690 + ... + 63026.

It is an arithmetic number, because the mean of its divisors is an integer number (212510436).

Almost surely, 21982553146 is an apocalyptic number.

1982553146 is a deficient number, since it is larger than the sum of its proper divisors (1417613830).

1982553146 is a wasteful number, since it uses less digits than its factorization.

1982553146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62693.

The product of its digits is 259200, while the sum is 44.

The square root of 1982553146 is about 44525.8705248982. The cubic root of 1982553146 is about 1256.2467351185.

The spelling of 1982553146 in words is "one billion, nine hundred eighty-two million, five hundred fifty-three thousand, one hundred forty-six".

Divisors: 1 2 7 14 2347 4694 16429 32858 60337 120674 422359 844718 141610939 283221878 991276573 1982553146