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1466353849 = 14922572
BaseRepresentation
bin101011101100110…
…1100100010111001
310210012012111022211
41113121230202321
511000341310344
6401301015121
751223542052
oct12731544271
93705174284
101466353849
1169279a394
1234b0b44a1
131a4a417cc
14dca65729
1588b00334
hex5766c8b9

1466353849 has 9 divisors (see below), whose sum is σ = 1482027757. Its totient is φ = 1450845184.

The previous prime is 1466353843. The next prime is 1466353901. The reversal of 1466353849 is 9483536641.

It is a happy number.

The square root of 1466353849 is 38293.

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 72675625 + 1393678224 = 8525^2 + 37332^2 .

It is not a de Polignac number, because 1466353849 - 25 = 1466353817 is a prime.

It is a super-2 number, since 2×14663538492 = 4300387220954229602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1466353843) 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 8 ways as a sum of consecutive naturals, for example, 5705529 + ... + 5705785.

Almost surely, 21466353849 is an apocalyptic number.

1466353849 is the 38293-rd square number.

1466353849 is the 19147-th centered octagonal number.

It is an amenable number.

1466353849 is a deficient number, since it is larger than the sum of its proper divisors (15673908).

1466353849 is an frugal number, since it uses more digits than its factorization.

1466353849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 406 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 49.

The cubic root of 1466353849 is about 1136.0904988179.

Multiplying 1466353849 by its sum of digits (49), we get a square (71851338601 = 2680512).

The spelling of 1466353849 in words is "one billion, four hundred sixty-six million, three hundred fifty-three thousand, eight hundred forty-nine".

Divisors: 1 149 257 22201 38293 66049 5705657 9841301 1466353849