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564630912 = 27372017
BaseRepresentation
bin100001101001111…
…001010110000000
31110100110020000000
4201221321112000
52124021142122
6132010000000
716664166156
oct4151712600
91410406000
10564630912
1126a7a061a
12139116000
138cc93b41
1454dbb3d6
15348830ac
hex21a79580

564630912 has 128 divisors (see below), whose sum is σ = 1687855200. Its totient is φ = 188116992.

The previous prime is 564630907. The next prime is 564630919. The reversal of 564630912 is 219036465.

It is a happy number.

564630912 is a `hidden beast` number, since 5 + 6 + 4 + 630 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564630919) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278928 + ... + 280944.

Almost surely, 2564630912 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 564630912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843927600).

564630912 is an abundant number, since it is smaller than the sum of its proper divisors (1123224288).

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

564630912 is an frugal number, since it uses more digits than its factorization.

564630912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 564630912 is about 23761.9635552283. The cubic root of 564630912 is about 826.5228863133.

The spelling of 564630912 in words is "five hundred sixty-four million, six hundred thirty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 864 972 1152 1296 1458 1728 1944 2017 2187 2592 2916 3456 3888 4034 4374 5184 5832 6051 7776 8068 8748 10368 11664 12102 15552 16136 17496 18153 23328 24204 31104 32272 34992 36306 46656 48408 54459 64544 69984 72612 93312 96816 108918 129088 139968 145224 163377 193632 217836 258176 279936 290448 326754 387264 435672 490131 580896 653508 774528 871344 980262 1161792 1307016 1470393 1742688 1960524 2323584 2614032 2940786 3485376 3921048 4411179 5228064 5881572 6970752 7842096 8822358 10456128 11763144 15684192 17644716 20912256 23526288 31368384 35289432 47052576 62736768 70578864 94105152 141157728 188210304 282315456 564630912