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1948441249 = 12493
BaseRepresentation
bin111010000100010…
…1101101010100001
312000210100001220201
41310020231222201
512442300104444
6521201505201
766166322506
oct16410555241
95023301821
101948441249
1190a931827
12464642201
13250894621
14146ab74ad
15b60cadd4
hex7422daa1

1948441249 has 4 divisors (see below), whose sum is σ = 1950002500. Its totient is φ = 1946881248.

The previous prime is 1948441223. The next prime is 1948441283. The reversal of 1948441249 is 9421448491.

The cubic root of 1948441249 is 1249.

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

It can be written as a sum of positive squares in 2 ways, for example, as 124724224 + 1823717025 = 11168^2 + 42705^2 .

It is a de Polignac number, because none of the positive numbers 2k-1948441249 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1948441199 and 1948441208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1948441049) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1559377 + ... + 1560625.

It is an arithmetic number, because the mean of its divisors is an integer number (487500625).

Almost surely, 21948441249 is an apocalyptic number.

It is an amenable number.

1948441249 is a deficient number, since it is larger than the sum of its proper divisors (1561251).

1948441249 is an frugal number, since it uses more digits than its factorization.

1948441249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3747 (or 1249 counting only the distinct ones).

The product of its digits is 331776, while the sum is 46.

The square root of 1948441249 is about 44141.1514235866.

The spelling of 1948441249 in words is "one billion, nine hundred forty-eight million, four hundred forty-one thousand, two hundred forty-nine".

Divisors: 1 1249 1560001 1948441249