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5663904 = 253411439
BaseRepresentation
bin10101100110110010100000
3101122202102020
4111212302200
52422221104
6321221440
766066561
oct25466240
911582366
105663904
113219414
121a91880
13123402c
14a76168
1576d2d9
hex566ca0

5663904 has 48 divisors (see below), whose sum is σ = 15240960. Its totient is φ = 1840640.

The previous prime is 5663897. The next prime is 5663909. The reversal of 5663904 is 4093665.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (5663909) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3217 + ... + 4655.

It is an arithmetic number, because the mean of its divisors is an integer number (317520).

Almost surely, 25663904 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 5663904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620480).

5663904 is an abundant number, since it is smaller than the sum of its proper divisors (9577056).

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

5663904 is a wasteful number, since it uses less digits than its factorization.

5663904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 5663904 is about 2379.8957960381. The cubic root of 5663904 is about 178.2537306438.

The spelling of 5663904 in words is "five million, six hundred sixty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1439 1968 2878 3936 4317 5756 8634 11512 17268 23024 34536 46048 58999 69072 117998 138144 176997 235996 353994 471992 707988 943984 1415976 1887968 2831952 5663904