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564838452 = 2232291513583
BaseRepresentation
bin100001101010101…
…100000000110100
31110100211202200200
4201222230000310
52124044312302
6132014240500
716666022223
oct4152540064
91410752620
10564838452
1126a922542
121391b6130
1390037449
1455032cba
15348c481c
hex21aac034

564838452 has 72 divisors (see below), whose sum is σ = 1487216640. Its totient is φ = 180532800.

The previous prime is 564838451. The next prime is 564838453. The reversal of 564838452 is 254838465.

564838452 is a `hidden beast` number, since 564 + 8 + 3 + 84 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (564838451) and next prime (564838453).

It is a junction number, because it is equal to n+sod(n) for n = 564838398 and 564838407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564838451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155853 + ... + 159435.

Almost surely, 2564838452 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 564838452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743608320).

564838452 is an abundant number, since it is smaller than the sum of its proper divisors (922378188).

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

564838452 is a wasteful number, since it uses less digits than its factorization.

564838452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3773 (or 3768 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 564838452 is about 23766.3302173474. The cubic root of 564838452 is about 826.6241415719.

It can be divided in two parts, 5648 and 38452, that added together give a square (44100 = 2102).

The spelling of 564838452 in words is "five hundred sixty-four million, eight hundred thirty-eight thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 151 174 261 302 348 453 522 604 906 1044 1359 1812 2718 3583 4379 5436 7166 8758 10749 13137 14332 17516 21498 26274 32247 39411 42996 52548 64494 78822 103907 128988 157644 207814 311721 415628 541033 623442 935163 1082066 1246884 1623099 1870326 2164132 3246198 3740652 4869297 6492396 9738594 15689957 19477188 31379914 47069871 62759828 94139742 141209613 188279484 282419226 564838452