Search a number
-
+
564677028 = 223331227743
BaseRepresentation
bin100001101010000…
…100100110100100
31110100112120021000
4201222010212210
52124024131103
6132010553300
716664450466
oct4152044644
91410476230
10564677028
1126a822233
12139138830
138ccabb26
1454dd0136
1534891aa3
hex21a849a4

564677028 has 96 divisors (see below), whose sum is σ = 1519902720. Its totient is φ = 181107360.

The previous prime is 564677021. The next prime is 564677039. The reversal of 564677028 is 820776465.

564677028 is a `hidden beast` number, since 564 + 67 + 7 + 0 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (564677021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 759625 + ... + 760367.

It is an arithmetic number, because the mean of its divisors is an integer number (15832320).

Almost surely, 2564677028 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 564677028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759951360).

564677028 is an abundant number, since it is smaller than the sum of its proper divisors (955225692).

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

564677028 is a wasteful number, since it uses less digits than its factorization.

564677028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 564677028 is about 23762.9339097680. The cubic root of 564677028 is about 826.5453876742.

The spelling of 564677028 in words is "five hundred sixty-four million, six hundred seventy-seven thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 227 279 372 454 558 681 743 837 908 1116 1362 1486 1674 2043 2229 2724 2972 3348 4086 4458 6129 6687 7037 8172 8916 12258 13374 14074 20061 21111 23033 24516 26748 28148 40122 42222 46066 63333 69099 80244 84444 92132 126666 138198 168661 189999 207297 253332 276396 337322 379998 414594 505983 621891 674644 759996 829188 1011966 1243782 1517949 2023932 2487564 3035898 4553847 5228491 6071796 9107694 10456982 15685473 18215388 20913964 31370946 47056419 62741892 94112838 141169257 188225676 282338514 564677028