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564568480 = 25572112389
BaseRepresentation
bin100001101001101…
…010000110100000
31110100100001100201
4201221222012200
52124012142410
6132004354544
716663516150
oct4151520640
91410301321
10564568480
1126a758723
121390a5a54
138cc715b8
1454da2760
153486e83a
hex21a6a1a0

564568480 has 96 divisors (see below), whose sum is σ = 1532200320. Its totient is φ = 192568320.

The previous prime is 564568471. The next prime is 564568493. The reversal of 564568480 is 84865465.

It is a self number, because there is not a number n which added to its sum of digits gives 564568480.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 235126 + ... + 237514.

It is an arithmetic number, because the mean of its divisors is an integer number (15960420).

Almost surely, 2564568480 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 564568480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766100160).

564568480 is an abundant number, since it is smaller than the sum of its proper divisors (967631840).

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

564568480 is a wasteful number, since it uses less digits than its factorization.

564568480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622 (or 2614 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 46.

The square root of 564568480 is about 23760.6498227637. The cubic root of 564568480 is about 826.4924219410.

The spelling of 564568480 in words is "five hundred sixty-four million, five hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 211 224 280 422 560 844 1055 1120 1477 1688 2110 2389 2954 3376 4220 4778 5908 6752 7385 8440 9556 11816 11945 14770 16723 16880 19112 23632 23890 29540 33446 33760 38224 47264 47780 59080 66892 76448 83615 95560 118160 133784 167230 191120 236320 267568 334460 382240 504079 535136 668920 1008158 1337840 2016316 2520395 2675680 3528553 4032632 5040790 7057106 8065264 10081580 14114212 16130528 17642765 20163160 28228424 35285530 40326320 56456848 70571060 80652640 112913696 141142120 282284240 564568480