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424528506 = 233291731567
BaseRepresentation
bin11001010011011…
…100101001111010
31002120211021122000
4121103130221322
51332134403011
6110043041430
713343301303
oct3123345172
91076737560
10424528506
111a86a9606
12ba210276
1369c4bccc
144054b7aa
152740b356
hex194dca7a

424528506 has 64 divisors (see below), whose sum is σ = 982195200. Its totient is φ = 135753408.

The previous prime is 424528501. The next prime is 424528519. The reversal of 424528506 is 605825424.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (424528501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270135 + ... + 271701.

It is an arithmetic number, because the mean of its divisors is an integer number (15346800).

Almost surely, 2424528506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424528506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491097600).

424528506 is an abundant number, since it is smaller than the sum of its proper divisors (557666694).

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

424528506 is a wasteful number, since it uses less digits than its factorization.

424528506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 424528506 is about 20604.0895455247. The cubic root of 424528506 is about 751.5691626817.

The spelling of 424528506 in words is "four hundred twenty-four million, five hundred twenty-eight thousand, five hundred six".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 173 174 261 346 519 522 783 1038 1557 1566 1567 3114 3134 4671 4701 5017 9342 9402 10034 14103 15051 28206 30102 42309 45153 45443 84618 90306 90886 135459 136329 270918 271091 272658 408987 542182 813273 817974 1226961 1626546 2439819 2453922 4879638 7319457 7861639 14638914 15723278 23584917 47169834 70754751 141509502 212264253 424528506