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564500430 = 232513835813
BaseRepresentation
bin100001101001011…
…001011111001110
31110100012121000100
4201221121133032
52124003003210
6132003111530
716663113564
oct4151313716
91410177010
10564500430
1126a71158a
121390725a6
138cc49630
1454d85a34
15348595c0
hex21a597ce

564500430 has 96 divisors (see below), whose sum is σ = 1599919776. Its totient is φ = 137256192.

The previous prime is 564500401. The next prime is 564500441. The reversal of 564500430 is 34005465.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 564500394 and 564500403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94204 + ... + 100016.

It is an arithmetic number, because the mean of its divisors is an integer number (16665831).

Almost surely, 2564500430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564500430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799959888).

564500430 is an abundant number, since it is smaller than the sum of its proper divisors (1035419346).

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

564500430 is a wasteful number, since it uses less digits than its factorization.

564500430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5922 (or 5919 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 564500430 is about 23759.2177901546. The cubic root of 564500430 is about 826.4592136464.

Adding to 564500430 its reverse (34005465), we get a palindrome (598505895).

The spelling of 564500430 in words is "five hundred sixty-four million, five hundred thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 83 90 117 130 166 195 234 249 390 415 498 585 747 830 1079 1170 1245 1494 2158 2490 3237 3735 5395 5813 6474 7470 9711 10790 11626 16185 17439 19422 29065 32370 34878 48555 52317 58130 75569 87195 97110 104634 151138 174390 226707 261585 377845 453414 482479 523170 680121 755690 964958 1133535 1360242 1447437 2267070 2412395 2894874 3400605 4342311 4824790 6272227 6801210 7237185 8684622 12544454 14474370 18816681 21711555 31361135 37633362 43423110 56450043 62722270 94083405 112900086 188166810 282250215 564500430