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564988840 = 235138631259
BaseRepresentation
bin100001101011010…
…000101110101000
31110101010101222121
4201223100232220
52124114120330
6132021401024
720000216533
oct4153205650
91411111877
10564988840
1126aa15529
12139269174
139008aa30
1455071a1a
153490417a
hex21ad0ba8

564988840 has 64 divisors (see below), whose sum is σ = 1371686400. Its totient is φ = 208204032.

The previous prime is 564988799. The next prime is 564988861. The reversal of 564988840 is 48889465.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 448131 + ... + 449389.

It is an arithmetic number, because the mean of its divisors is an integer number (21432600).

Almost surely, 2564988840 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 564988840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685843200).

564988840 is an abundant number, since it is smaller than the sum of its proper divisors (806697560).

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

564988840 is a wasteful number, since it uses less digits than its factorization.

564988840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 52.

The square root of 564988840 is about 23769.4938944858. The cubic root of 564988840 is about 826.6974978384.

The spelling of 564988840 in words is "five hundred sixty-four million, nine hundred eighty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 863 1259 1726 2518 3452 4315 5036 6295 6904 8630 10072 11219 12590 16367 17260 22438 25180 32734 34520 44876 50360 56095 65468 81835 89752 112190 130936 163670 224380 327340 448760 654680 1086517 2173034 4346068 5432585 8692136 10865170 14124721 21730340 28249442 43460680 56498884 70623605 112997768 141247210 282494420 564988840