Search a number
-
+
564214336 = 26710611187
BaseRepresentation
bin100001101000010…
…011101001000000
31110022200001120021
4201220103221000
52123414324321
6131553023224
716660512520
oct4150235100
91408601507
10564214336
1126a536644
12138b54b14
138cb7934a
1454d0d680
15347ee941
hex21a13a40

564214336 has 56 divisors (see below), whose sum is σ = 1281842496. Its totient is φ = 241374720.

The previous prime is 564214297. The next prime is 564214349. The reversal of 564214336 is 633412465.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 474735 + ... + 475921.

Almost surely, 2564214336 is an apocalyptic number.

564214336 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

564214336 is an abundant number, since it is smaller than the sum of its proper divisors (717628160).

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

564214336 is a wasteful number, since it uses less digits than its factorization.

564214336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2257 counting only the distinct ones).

The product of its digits is 51840, while the sum is 34.

The square root of 564214336 is about 23753.1963322834. The cubic root of 564214336 is about 826.3195710143.

The spelling of 564214336 in words is "five hundred sixty-four million, two hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 1061 1187 2122 2374 4244 4748 7427 8309 8488 9496 14854 16618 16976 18992 29708 33236 33952 37984 59416 66472 67904 75968 118832 132944 237664 265888 475328 531776 1259407 2518814 5037628 8815849 10075256 17631698 20150512 35263396 40301024 70526792 80602048 141053584 282107168 564214336