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424528 = 24132157
BaseRepresentation
bin1100111101001010000
3210120100021
41213221100
5102041103
613033224
73415456
oct1475120
9716307
10424528
1126aa55
12185814
1311b300
14b09d6
1585bbd
hex67a50

424528 has 30 divisors (see below), whose sum is σ = 896334. Its totient is φ = 194688.

The previous prime is 424519. The next prime is 424537. The reversal of 424528 is 825424.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (424519) and next prime (424537).

It can be written as a sum of positive squares in 3 ways, for example, as 4624 + 419904 = 68^2 + 648^2 .

It is a super-3 number, since 3×4245283 = 229530431833337856, which contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2626 + ... + 2782.

2424528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448167).

424528 is an abundant number, since it is smaller than the sum of its proper divisors (471806).

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

424528 is a wasteful number, since it uses less digits than its factorization.

424528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 172 counting only the distinct ones).

The product of its digits is 2560, while the sum is 25.

The square root of 424528 is about 651.5581324794. The cubic root of 424528 is about 75.1568864081.

The spelling of 424528 in words is "four hundred twenty-four thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 157 169 208 314 338 628 676 1256 1352 2041 2512 2704 4082 8164 16328 26533 32656 53066 106132 212264 424528