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564612464 = 2413231071103
BaseRepresentation
bin100001101001110…
…100110101110000
31110100102021200202
4201221310311300
52124020044324
6132005334332
716664061323
oct4151646560
91410367622
10564612464
1126a788779
121391073a8
138cc88620
1454db47ba
153487c8ae
hex21a74d70

564612464 has 80 divisors (see below), whose sum is σ = 1241920512. Its totient is φ = 246706944.

The previous prime is 564612443. The next prime is 564612469. The reversal of 564612464 is 464216465.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564612469) 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, 511337 + ... + 512439.

Almost surely, 2564612464 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 564612464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620960256).

564612464 is an abundant number, since it is smaller than the sum of its proper divisors (677308048).

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

564612464 is a wasteful number, since it uses less digits than its factorization.

564612464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1248 counting only the distinct ones).

The product of its digits is 138240, while the sum is 38.

The square root of 564612464 is about 23761.5753686493. The cubic root of 564612464 is about 826.5138846451.

The spelling of 564612464 in words is "five hundred sixty-four million, six hundred twelve thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 107 184 208 214 299 368 428 598 856 1103 1196 1391 1712 2206 2392 2461 2782 4412 4784 4922 5564 8824 9844 11128 14339 17648 19688 22256 25369 28678 31993 39376 50738 57356 63986 101476 114712 118021 127972 202952 229424 236042 255944 329797 405904 472084 511888 659594 944168 1319188 1534273 1888336 2638376 2714483 3068546 5276752 5428966 6137092 10857932 12274184 21715864 24548368 35288279 43431728 70576558 141153116 282306232 564612464