Search a number
-
+
564211494 = 23571115077
BaseRepresentation
bin100001101000010…
…010111100100110
31110022122220200000
4201220102330212
52123414231434
6131553002130
716660501320
oct4150227446
91408586600
10564211494
1126a5344a0
12138b53346
138cb77c72
1454d0c610
15347edb99
hex21a12f26

564211494 has 96 divisors (see below), whose sum is σ = 1580656896. Its totient is φ = 146538720.

The previous prime is 564211493. The next prime is 564211567. The reversal of 564211494 is 494112465.

564211494 is a `hidden beast` number, since 5 + 642 + 1 + 1 + 4 + 9 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564211493) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 29884 + ... + 44960.

It is an arithmetic number, because the mean of its divisors is an integer number (16465176).

Almost surely, 2564211494 is an apocalyptic number.

564211494 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 564211494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790328448).

564211494 is an abundant number, since it is smaller than the sum of its proper divisors (1016445402).

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

564211494 is a wasteful number, since it uses less digits than its factorization.

564211494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15112 (or 15100 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 564211494 is about 23753.1365086803. The cubic root of 564211494 is about 826.3181835958.

The spelling of 564211494 in words is "five hundred sixty-four million, two hundred eleven thousand, four hundred ninety-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 243 297 378 462 486 567 594 693 891 1134 1386 1701 1782 2079 2673 3402 4158 5346 6237 12474 15077 18711 30154 37422 45231 90462 105539 135693 165847 211078 271386 316617 331694 407079 497541 633234 814158 949851 995082 1160929 1221237 1492623 1899702 2321858 2442474 2849553 2985246 3482787 3663711 4477869 5699106 6965574 7327422 8548659 8955738 10448361 13433607 17097318 20896722 25645977 26867214 31345083 40300821 51291954 62690166 80601642 94035249 188070498 282105747 564211494