Search a number
-
+
564970752 = 2832379647
BaseRepresentation
bin100001101011001…
…100010100000000
31110101002111011200
4201223030110000
52124113031002
6132021141200
720000113023
oct4153142400
91411074150
10564970752
1126aa02985
1213925a800
1390082728
14550691ba
15348edb1c
hex21acc500

564970752 has 108 divisors (see below), whose sum is σ = 1635772320. Its totient is φ = 187536384.

The previous prime is 564970739. The next prime is 564970799. The reversal of 564970752 is 257079465.

It is a junction number, because it is equal to n+sod(n) for n = 564970698 and 564970707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 872893 + ... + 873539.

It is an arithmetic number, because the mean of its divisors is an integer number (15146040).

Almost surely, 2564970752 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 564970752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817886160).

564970752 is an abundant number, since it is smaller than the sum of its proper divisors (1070801568).

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

564970752 is a wasteful number, since it uses less digits than its factorization.

564970752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 564970752 is about 23769.1134037431. The cubic root of 564970752 is about 826.6886755616.

The spelling of 564970752 in words is "five hundred sixty-four million, nine hundred seventy thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 379 384 576 647 758 768 1137 1152 1294 1516 1941 2274 2304 2588 3032 3411 3882 4548 5176 5823 6064 6822 7764 9096 10352 11646 12128 13644 15528 18192 20704 23292 24256 27288 31056 36384 41408 46584 48512 54576 62112 72768 82816 93168 97024 109152 124224 145536 165632 186336 218304 245213 248448 291072 372672 436608 490426 496896 735639 745344 873216 980852 1471278 1490688 1961704 2206917 2942556 3923408 4413834 5885112 7846816 8827668 11770224 15693632 17655336 23540448 31387264 35310672 47080896 62774528 70621344 94161792 141242688 188323584 282485376 564970752