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1249045506 = 23269391417
BaseRepresentation
bin100101001110010…
…1110110000000010
310020001022002022200
41022130232300002
510024223424011
6323535214030
742644466042
oct11234566002
93201262280
101249045506
11591065415
122aa377316
1316ba072a7
14bbc59722
15749c7856
hex4a72ec02

1249045506 has 12 divisors (see below), whose sum is σ = 2706265302. Its totient is φ = 416348496.

The previous prime is 1249045493. The next prime is 1249045543. The reversal of 1249045506 is 6055409421.

1249045506 is a `hidden beast` number, since 1 + 24 + 90 + 45 + 506 = 666.

It can be written as a sum of positive squares in only one way, i.e., 789329025 + 459716481 = 28095^2 + 21441^2 .

It is a super-2 number, since 2×12490455062 = 3120229352117592072, which contains 22 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 34695691 + ... + 34695726.

Almost surely, 21249045506 is an apocalyptic number.

1249045506 is an abundant number, since it is smaller than the sum of its proper divisors (1457219796).

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

1249045506 is a wasteful number, since it uses less digits than its factorization.

1249045506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69391425 (or 69391422 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1249045506 is about 35341.8378978796. The cubic root of 1249045506 is about 1076.9430891993.

The spelling of 1249045506 in words is "one billion, two hundred forty-nine million, forty-five thousand, five hundred six".

Divisors: 1 2 3 6 9 18 69391417 138782834 208174251 416348502 624522753 1249045506