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424552905 = 32572316211
BaseRepresentation
bin11001010011100…
…010100111001001
31002120212112002200
4121103202213021
51332141143110
6110043350413
713343432400
oct3123424711
91076775080
10424552905
111a8715977
12ba222409
1369c5a14a
1440556637
15274136c0
hex194e29c9

424552905 has 72 divisors (see below), whose sum is σ = 883793664. Its totient is φ = 187790400.

The previous prime is 424552901. The next prime is 424552907. The reversal of 424552905 is 509255424.

It is not a de Polignac number, because 424552905 - 22 = 424552901 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 424552905.

It is not an unprimeable number, because it can be changed into a prime (424552901) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65250 + ... + 71460.

It is an arithmetic number, because the mean of its divisors is an integer number (12274912).

Almost surely, 2424552905 is an apocalyptic number.

424552905 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

424552905 is an abundant number, since it is smaller than the sum of its proper divisors (459240759).

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

424552905 is a wasteful number, since it uses less digits than its factorization.

424552905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6267 (or 6257 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 424552905 is about 20604.6816282126. The cubic root of 424552905 is about 751.5835607605.

The spelling of 424552905 in words is "four hundred twenty-four million, five hundred fifty-two thousand, nine hundred five".

Divisors: 1 3 5 7 9 15 21 31 35 45 49 63 93 105 147 155 217 245 279 315 441 465 651 735 1085 1395 1519 1953 2205 3255 4557 6211 7595 9765 13671 18633 22785 31055 43477 55899 68355 93165 130431 192541 217385 279495 304339 391293 577623 652155 913017 962705 1347787 1521695 1732869 1956465 2739051 2888115 4043361 4565085 6738935 8664345 9434509 12130083 13695255 20216805 28303527 47172545 60650415 84910581 141517635 424552905