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564368472 = 233732257
BaseRepresentation
bin100001101000111…
…001010001011000
31110022221220000000
4201220321101120
52123434242342
6132000213000
716662024063
oct4150712130
91408856000
10564368472
1126a631428
1213900a160
138cc01555
1454d4d8da
153483044c
hex21a39458

564368472 has 64 divisors (see below), whose sum is σ = 1587093600. Its totient is φ = 188116992.

The previous prime is 564368471. The next prime is 564368473. The reversal of 564368472 is 274863465.

564368472 is a `hidden beast` number, since 564 + 3 + 6 + 84 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (564368471) and next prime (564368473).

It is a super-2 number, since 2×5643684722 = 637023544375229568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564368471) 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, 1368 + ... + 33624.

Almost surely, 2564368472 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 564368472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793546800).

564368472 is an abundant number, since it is smaller than the sum of its proper divisors (1022725128).

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

564368472 is an equidigital number, since it uses as much as digits as its factorization.

564368472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32284 (or 32262 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 564368472 is about 23756.4406424868. The cubic root of 564368472 is about 826.3948107408.

The spelling of 564368472 in words is "five hundred sixty-four million, three hundred sixty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 8748 17496 32257 64514 96771 129028 193542 258056 290313 387084 580626 774168 870939 1161252 1741878 2322504 2612817 3483756 5225634 6967512 7838451 10451268 15676902 20902536 23515353 31353804 47030706 62707608 70546059 94061412 141092118 188122824 282184236 564368472