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1248420889 = 8923972
BaseRepresentation
bin100101001101001…
…0110010000011001
310020000010100111201
41022122112100121
510024043432024
6323513554201
742636255022
oct11232262031
93200110451
101248420889
11590779101
122aa115961
1316b848bb1
14bbb35c49
1574902744
hex4a696419

1248420889 has 9 divisors (see below), whose sum is σ = 1265794077. Its totient is φ = 1231284384.

The previous prime is 1248420863. The next prime is 1248420907. The reversal of 1248420889 is 9880248421.

The square root of 1248420889 is 35333.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 30969225 + 1217451664 = 5565^2 + 34892^2 .

It is a de Polignac number, because none of the positive numbers 2k-1248420889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1248420829) 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 8 ways as a sum of consecutive naturals, for example, 3144439 + ... + 3144835.

Almost surely, 21248420889 is an apocalyptic number.

1248420889 is the 35333-rd square number.

1248420889 is the 17667-th centered octagonal number.

It is an amenable number.

1248420889 is a deficient number, since it is larger than the sum of its proper divisors (17373188).

1248420889 is an frugal number, since it uses more digits than its factorization.

1248420889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 46.

The cubic root of 1248420889 is about 1076.7635416650.

The spelling of 1248420889 in words is "one billion, two hundred forty-eight million, four hundred twenty thousand, eight hundred eighty-nine".

Divisors: 1 89 397 7921 35333 157609 3144637 14027201 1248420889