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8064441 = 35711431
BaseRepresentation
bin11110110000110110111001
3120011201100000
4132300312321
54031030231
6444503213
7125355330
oct36606671
916151300
108064441
114608a30
12284ab09
131894878
1410dcd17
15a946e6
hex7b0db9

8064441 has 48 divisors (see below), whose sum is σ = 15095808. Its totient is φ = 4179600.

The previous prime is 8064431. The next prime is 8064449. The reversal of 8064441 is 1444608.

It is not a de Polignac number, because 8064441 - 26 = 8064377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8064449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18496 + ... + 18926.

It is an arithmetic number, because the mean of its divisors is an integer number (314496).

Almost surely, 28064441 is an apocalyptic number.

8064441 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

8064441 is a deficient number, since it is larger than the sum of its proper divisors (7031367).

8064441 is a wasteful number, since it uses less digits than its factorization.

8064441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8064441 is about 2839.7959433734. The cubic root of 8064441 is about 200.5355728617.

The spelling of 8064441 in words is "eight million, sixty-four thousand, four hundred forty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 81 99 189 231 243 297 431 567 693 891 1293 1701 2079 2673 3017 3879 4741 6237 9051 11637 14223 18711 27153 33187 34911 42669 81459 99561 104733 128007 244377 298683 384021 733131 896049 1152063 2688147 8064441