Search a number
-
+
8242564 = 2211376183
BaseRepresentation
bin11111011100010110000100
3120111202200011
4133130112010
54102230224
6452400004
7130026541
oct37342604
916452604
108242564
11471a840
122916004
131927975
141147bc8
15acc394
hex7dc584

8242564 has 48 divisors (see below), whose sum is σ = 16623936. Its totient is φ = 3542400.

The previous prime is 8242547. The next prime is 8242567. The reversal of 8242564 is 4652428.

8242564 = T257 + T258 + ... + T404.

It is a super-2 number, since 2×82425642 = 135879722588192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8242567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99267 + ... + 99349.

It is an arithmetic number, because the mean of its divisors is an integer number (346332).

Almost surely, 28242564 is an apocalyptic number.

It is an amenable number.

8242564 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

8242564 is a wasteful number, since it uses less digits than its factorization.

8242564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 194 counting only the distinct ones).

The product of its digits is 15360, while the sum is 31.

The square root of 8242564 is about 2870.9865900070. The cubic root of 8242564 is about 202.0012743768.

The spelling of 8242564 in words is "eight million, two hundred forty-two thousand, five hundred sixty-four".

Divisors: 1 2 4 11 22 37 44 61 74 83 122 148 166 244 332 407 671 814 913 1342 1628 1826 2257 2684 3071 3652 4514 5063 6142 9028 10126 12284 20252 24827 33781 49654 55693 67562 99308 111386 135124 187331 222772 374662 749324 2060641 4121282 8242564