Search a number
-
+
1664051048 = 2311210131697
BaseRepresentation
bin110001100101111…
…0110011101101000
311021222012112220022
41203023312131220
511401444113143
6433042220012
756144125532
oct14313663550
94258175808
101664051048
1178434a200
123a5354608
132069a08ba
1411b008852
159b152268
hex632f6768

1664051048 has 48 divisors (see below), whose sum is σ = 3434935140. Its totient is φ = 755194880.

The previous prime is 1664051029. The next prime is 1664051057. The reversal of 1664051048 is 8401504661.

It can be written as a sum of positive squares in 2 ways, for example, as 1654699684 + 9351364 = 40678^2 + 3058^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1664050999 and 1664051017.

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 11 ways as a sum of consecutive naturals, for example, 979736 + ... + 981432.

Almost surely, 21664051048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1664051048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717467570).

1664051048 is an abundant number, since it is smaller than the sum of its proper divisors (1770884092).

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

1664051048 is a wasteful number, since it uses less digits than its factorization.

1664051048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 1664051048 is about 40792.7818124727. The cubic root of 1664051048 is about 1185.0105449874.

The spelling of 1664051048 in words is "one billion, six hundred sixty-four million, fifty-one thousand, forty-eight".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1013 1697 2026 3394 4052 6788 8104 11143 13576 18667 22286 37334 44572 74668 89144 122573 149336 205337 245146 410674 490292 821348 980584 1642696 1719061 3438122 6876244 13752488 18909671 37819342 75638684 151277368 208006381 416012762 832025524 1664051048