Search a number
-
+
1668471408 = 243241927653
BaseRepresentation
bin110001101110010…
…1101101001110000
311022021112010111100
41203130231221300
511404112041113
6433321044400
756226526062
oct14334555160
94267463440
101668471408
1178689929a
123a6926700
1320788a8b6
1411b839732
159b726d73
hex6372da70

1668471408 has 60 divisors (see below), whose sum is σ = 4680716040. Its totient is φ = 554809728.

The previous prime is 1668471403. The next prime is 1668471439. The reversal of 1668471408 is 8041748661.

1668471408 is a `hidden beast` number, since 166 + 84 + 7 + 1 + 408 = 666.

1668471408 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1668471401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46510 + ... + 74162.

It is an arithmetic number, because the mean of its divisors is an integer number (78011934).

Almost surely, 21668471408 is an apocalyptic number.

1668471408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1668471408 is an abundant number, since it is smaller than the sum of its proper divisors (3012244632).

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

1668471408 is a wasteful number, since it uses less digits than its factorization.

1668471408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28086 (or 28077 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 1668471408 is about 40846.9265428869. The cubic root of 1668471408 is about 1186.0588986122.

The spelling of 1668471408 in words is "one billion, six hundred sixty-eight million, four hundred seventy-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 419 838 1257 1676 2514 3352 3771 5028 6704 7542 10056 15084 20112 27653 30168 55306 60336 82959 110612 165918 221224 248877 331836 442448 497754 663672 995508 1327344 1991016 3982032 11586607 23173214 34759821 46346428 69519642 92692856 104279463 139039284 185385712 208558926 278078568 417117852 556157136 834235704 1668471408