Search a number
-
+
564200676 = 2232131205557
BaseRepresentation
bin100001101000010…
…000010011100100
31110022122100211100
4201220100103210
52123413410201
6131552440100
716660424634
oct4150202344
91408570740
10564200676
1126a527356
12138b49030
138cb73070
1454d086c4
15347ea886
hex21a104e4

564200676 has 36 divisors (see below), whose sum is σ = 1535880892. Its totient is φ = 173600064.

The previous prime is 564200671. The next prime is 564200723. The reversal of 564200676 is 676002465.

564200676 is a `hidden beast` number, since 5 + 642 + 0 + 0 + 6 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 189778176 + 374422500 = 13776^2 + 19350^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 564200676.

It is not an unprimeable number, because it can be changed into a prime (564200671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 602311 + ... + 603246.

Almost surely, 2564200676 is an apocalyptic number.

It is an amenable number.

564200676 is an abundant number, since it is smaller than the sum of its proper divisors (971680216).

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

564200676 is a wasteful number, since it uses less digits than its factorization.

564200676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205580 (or 1205575 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 564200676 is about 23752.9087902935. The cubic root of 564200676 is about 826.3129023805.

The spelling of 564200676 in words is "five hundred sixty-four million, two hundred thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1205557 2411114 3616671 4822228 7233342 10850013 14466684 15672241 21700026 31344482 43400052 47016723 62688964 94033446 141050169 188066892 282100338 564200676