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424723005 = 32575922853
BaseRepresentation
bin11001010100001…
…100001000111101
31002121012011102200
4121110030020331
51332212114010
6110051142113
713345041330
oct3124141075
91077164380
10424723005
111a8821753
12ba2a4939
1369cb96b5
144059c617
1527448cc0
hex1950c23d

424723005 has 48 divisors (see below), whose sum is σ = 855653760. Its totient is φ = 190859904.

The previous prime is 424722989. The next prime is 424723031. The reversal of 424723005 is 500327424.

424723005 is a `hidden beast` number, since 424 + 7 + 230 + 0 + 5 = 666.

It is not a de Polignac number, because 424723005 - 24 = 424722989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 424723005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7159 + ... + 30011.

It is an arithmetic number, because the mean of its divisors is an integer number (17826120).

Almost surely, 2424723005 is an apocalyptic number.

424723005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

424723005 is an abundant number, since it is smaller than the sum of its proper divisors (430930755).

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

424723005 is a wasteful number, since it uses less digits than its factorization.

424723005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22930 (or 22927 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 424723005 is about 20608.8089175479. The cubic root of 424723005 is about 751.6839230413.

The spelling of 424723005 in words is "four hundred twenty-four million, seven hundred twenty-three thousand, five".

Divisors: 1 3 5 7 9 15 21 35 45 59 63 105 177 295 315 413 531 885 1239 2065 2655 3717 6195 18585 22853 68559 114265 159971 205677 342795 479913 799855 1028385 1348327 1439739 2399565 4044981 6741635 7198695 9438289 12134943 20224905 28314867 47191445 60674715 84944601 141574335 424723005