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8406005949 = 321184909151
BaseRepresentation
bin1111101010000100…
…10111100010111101
3210200211101100100200
413311002113202331
5114203414142244
63510041514113
7415210604655
oct76502274275
923624340320
108406005949
113623a75760
1217671a2939
13a3c6a8323
1459a593365
15342e98669
hex1f50978bd

8406005949 has 12 divisors (see below), whose sum is σ = 13245827712. Its totient is φ = 5094549000.

The previous prime is 8406005893. The next prime is 8406005953. The reversal of 8406005949 is 9495006048.

It is a happy number.

It is not a de Polignac number, because 8406005949 - 29 = 8406005437 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8406005969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42454477 + ... + 42454674.

It is an arithmetic number, because the mean of its divisors is an integer number (1103818976).

Almost surely, 28406005949 is an apocalyptic number.

It is an amenable number.

8406005949 is a deficient number, since it is larger than the sum of its proper divisors (4839821763).

8406005949 is a wasteful number, since it uses less digits than its factorization.

8406005949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84909168 (or 84909165 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 8406005949 is about 91684.2731824821. The cubic root of 8406005949 is about 2033.2770763587.

The spelling of 8406005949 in words is "eight billion, four hundred six million, five thousand, nine hundred forty-nine".

Divisors: 1 3 9 11 33 99 84909151 254727453 764182359 934000661 2802001983 8406005949