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564627232 = 25135325609
BaseRepresentation
bin100001101001111…
…000011100100000
31110100110000221201
4201221320130200
52124021032412
6132005530544
716664152351
oct4151703440
91410400851
10564627232
1126a798884
12139113a54
138cc92270
1454db9d28
1534881e57
hex21a78720

564627232 has 48 divisors (see below), whose sum is σ = 1219753080. Its totient is φ = 255670272.

The previous prime is 564627229. The next prime is 564627233. The reversal of 564627232 is 232726465.

It can be written as a sum of positive squares in 4 ways, for example, as 559038736 + 5588496 = 23644^2 + 2364^2 .

It is a super-2 number, since 2×5646272322 = 637607822231963648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 564627191 and 564627200.

It is not an unprimeable number, because it can be changed into a prime (564627233) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9244 + ... + 34852.

Almost surely, 2564627232 is an apocalyptic number.

564627232 is a gapful number since it is divisible by the number (52) 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 564627232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609876540).

564627232 is an abundant number, since it is smaller than the sum of its proper divisors (655125848).

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

564627232 is a wasteful number, since it uses less digits than its factorization.

564627232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25685 (or 25677 counting only the distinct ones).

The product of its digits is 120960, while the sum is 37.

The square root of 564627232 is about 23761.8861204240. The cubic root of 564627232 is about 826.5210906796.

The spelling of 564627232 in words is "five hundred sixty-four million, six hundred twenty-seven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 53 104 106 208 212 416 424 689 848 1378 1696 2756 5512 11024 22048 25609 51218 102436 204872 332917 409744 665834 819488 1331668 1357277 2663336 2714554 5326672 5429108 10653344 10858216 17644601 21716432 35289202 43432864 70578404 141156808 282313616 564627232