Search a number
-
+
422647008 = 2537628939
BaseRepresentation
bin11001001100010…
…001010011100000
31002110021200200220
4121030101103200
51331144201013
6105534443040
713321304010
oct3114212340
91073250626
10422647008
111a7633a53
12b9663480
13697407b4
14401bbc40
1527188b23
hex193114e0

422647008 has 48 divisors (see below), whose sum is σ = 1267943040. Its totient is φ = 120756096.

The previous prime is 422646989. The next prime is 422647051. The reversal of 422647008 is 800746224.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 422647008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 313798 + ... + 315141.

It is an arithmetic number, because the mean of its divisors is an integer number (26415480).

Almost surely, 2422647008 is an apocalyptic number.

422647008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

422647008 is an abundant number, since it is smaller than the sum of its proper divisors (845296032).

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

422647008 is a wasteful number, since it uses less digits than its factorization.

422647008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628959 (or 628951 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 422647008 is about 20558.3804809620. The cubic root of 422647008 is about 750.4572074474.

The spelling of 422647008 in words is "four hundred twenty-two million, six hundred forty-seven thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 628939 1257878 1886817 2515756 3773634 4402573 5031512 7547268 8805146 10063024 13207719 15094536 17610292 20126048 26415438 30189072 35220584 52830876 60378144 70441168 105661752 140882336 211323504 422647008