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5648064 = 263231279
BaseRepresentation
bin10101100010111011000000
3101121221200120
4111202323000
52421214224
6321020240
766002442
oct25427300
911557616
105648064
113208524
121a84680
131229a66
14a70492
15768779
hex562ec0

5648064 has 56 divisors (see below), whose sum is σ = 15605760. Its totient is φ = 1799424.

The previous prime is 5648059. The next prime is 5648077. The reversal of 5648064 is 4608465.

It is a happy number.

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, 3777 + ... + 5055.

Almost surely, 25648064 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 5648064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7802880).

5648064 is an abundant number, since it is smaller than the sum of its proper divisors (9957696).

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

5648064 is a wasteful number, since it uses less digits than its factorization.

5648064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 5648064 is about 2376.5655892485. The cubic root of 5648064 is about 178.0874039459.

The spelling of 5648064 in words is "five million, six hundred forty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1279 1472 2208 2558 3837 4416 5116 7674 10232 15348 20464 29417 30696 40928 58834 61392 81856 88251 117668 122784 176502 235336 245568 353004 470672 706008 941344 1412016 1882688 2824032 5648064