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5663328 = 2531131173
BaseRepresentation
bin10101100110101001100000
3101122201121220
4111212221200
52422211303
6321215040
766065106
oct25465140
911581556
105663328
113218a40
121a91480
1312339a8
14a75c76
1576d053
hex566a60

5663328 has 96 divisors (see below), whose sum is σ = 16837632. Its totient is φ = 1651200.

The previous prime is 5663327. The next prime is 5663347. The reversal of 5663328 is 8233665.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5663321) 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, 32650 + ... + 32822.

It is an arithmetic number, because the mean of its divisors is an integer number (175392).

Almost surely, 25663328 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 5663328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8418816).

5663328 is an abundant number, since it is smaller than the sum of its proper divisors (11174304).

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

5663328 is a wasteful number, since it uses less digits than its factorization.

5663328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 220 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 5663328 is about 2379.7747792596. The cubic root of 5663328 is about 178.2476878372.

Subtracting from 5663328 its sum of digits (33), we obtain a triangular number (5663295 = T3365).

The spelling of 5663328 in words is "five million, six hundred sixty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 66 88 93 96 124 132 173 176 186 248 264 341 346 352 372 496 519 528 682 692 744 992 1023 1038 1056 1364 1384 1488 1903 2046 2076 2728 2768 2976 3806 4092 4152 5363 5456 5536 5709 7612 8184 8304 10726 10912 11418 15224 16089 16368 16608 21452 22836 30448 32178 32736 42904 45672 58993 60896 64356 85808 91344 117986 128712 171616 176979 182688 235972 257424 353958 471944 514848 707916 943888 1415832 1887776 2831664 5663328