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5648640 = 28351471
BaseRepresentation
bin10101100011000100000000
3101121222110220
4111203010000
52421224030
6321023040
766004224
oct25430400
911558426
105648640
1132089a8
121a84a80
13122a0ba
14a70784
15768a10
hex563100

5648640 has 72 divisors (see below), whose sum is σ = 18052608. Its totient is φ = 1505280.

The previous prime is 5648597. The next prime is 5648651. The reversal of 5648640 is 468465.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3105 + ... + 4575.

Almost surely, 25648640 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 5648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9026304).

5648640 is an abundant number, since it is smaller than the sum of its proper divisors (12403968).

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

5648640 is a wasteful number, since it uses less digits than its factorization.

5648640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1481 counting only the distinct ones).

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

The square root of 5648640 is about 2376.6867694334. The cubic root of 5648640 is about 178.0934576343.

The spelling of 5648640 in words is "five million, six hundred forty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1471 1920 2942 3840 4413 5884 7355 8826 11768 14710 17652 22065 23536 29420 35304 44130 47072 58840 70608 88260 94144 117680 141216 176520 188288 235360 282432 353040 376576 470720 564864 706080 941440 1129728 1412160 1882880 2824320 5648640