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5564064 = 253112479
BaseRepresentation
bin10101001110011010100000
3101110200110110
4111032122200
52411022224
6315131320
765202522
oct25163240
911420413
105564064
113160400
121a43b40
1311ca75c
14a4ba12
1574d929
hex54e6a0

5564064 has 72 divisors (see below), whose sum is σ = 16087680. Its totient is φ = 1682560.

The previous prime is 5564059. The next prime is 5564077. The reversal of 5564064 is 4604655.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11377 + ... + 11855.

It is an arithmetic number, because the mean of its divisors is an integer number (223440).

Almost surely, 25564064 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 5564064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8043840).

5564064 is an abundant number, since it is smaller than the sum of its proper divisors (10523616).

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

5564064 is a wasteful number, since it uses less digits than its factorization.

5564064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 5564064 is about 2358.8268270477. The cubic root of 5564064 is about 177.2001311258.

The spelling of 5564064 in words is "five million, five hundred sixty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 479 484 528 726 958 968 1056 1437 1452 1916 1936 2874 2904 3832 3872 5269 5748 5808 7664 10538 11496 11616 15328 15807 21076 22992 31614 42152 45984 57959 63228 84304 115918 126456 168608 173877 231836 252912 347754 463672 505824 695508 927344 1391016 1854688 2782032 5564064