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426552252 = 223721037043
BaseRepresentation
bin11001011011001…
…010101110111100
31002201122002200120
4121123022232330
51333144133002
6110154254540
713366430400
oct3133125674
91081562616
10426552252
111a9861025
12baa27450
136a4aa1a9
1440917100
15276aacbc
hex196cabbc

426552252 has 72 divisors (see below), whose sum is σ = 1169191296. Its totient is φ = 120671712.

The previous prime is 426552251. The next prime is 426552263. The reversal of 426552252 is 252255624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426552251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57043 + ... + 64085.

It is an arithmetic number, because the mean of its divisors is an integer number (16238768).

Almost surely, 2426552252 is an apocalyptic number.

426552252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426552252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584595648).

426552252 is an abundant number, since it is smaller than the sum of its proper divisors (742639044).

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

426552252 is a wasteful number, since it uses less digits than its factorization.

426552252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7167 (or 7158 counting only the distinct ones).

The product of its digits is 48000, while the sum is 33.

The square root of 426552252 is about 20653.1414559626. The cubic root of 426552252 is about 752.7615243866.

The spelling of 426552252 in words is "four hundred twenty-six million, five hundred fifty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 103 147 196 206 294 309 412 588 618 721 1236 1442 2163 2884 4326 5047 7043 8652 10094 14086 15141 20188 21129 28172 30282 42258 49301 60564 84516 98602 147903 197204 295806 345107 591612 690214 725429 1035321 1380428 1450858 2070642 2176287 2901716 4141284 4352574 5078003 8705148 10156006 15234009 20312012 30468018 35546021 60936036 71092042 106638063 142184084 213276126 426552252