Search a number
-
+
5639328 = 253361107
BaseRepresentation
bin10101100000110010100000
3101121111201000
4111200302200
52420424303
6320512000
765635122
oct25406240
911544630
105639328
113201a02
121a7b600
131225aa6
14a6b212
15765da3
hex560ca0

5639328 has 96 divisors (see below), whose sum is σ = 16873920. Its totient is φ = 1831680.

The previous prime is 5639327. The next prime is 5639357. The reversal of 5639328 is 8239365.

5639328 is a `hidden beast` number, since 563 + 93 + 2 + 8 = 666.

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 (36).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5639292 and 5639301.

It is not an unprimeable number, because it can be changed into a prime (5639327) 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, 52651 + ... + 52757.

It is an arithmetic number, because the mean of its divisors is an integer number (175770).

Almost surely, 25639328 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 5639328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8436960).

5639328 is an abundant number, since it is smaller than the sum of its proper divisors (11234592).

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

5639328 is a wasteful number, since it uses less digits than its factorization.

5639328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 173 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 5639328 is about 2374.7269316702. The cubic root of 5639328 is about 177.9955391720.

The spelling of 5639328 in words is "five million, six hundred thirty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 72 96 107 108 122 144 183 214 216 244 288 321 366 428 432 488 549 642 732 856 864 963 976 1098 1284 1464 1647 1712 1926 1952 2196 2568 2889 2928 3294 3424 3852 4392 5136 5778 5856 6527 6588 7704 8784 10272 11556 13054 13176 15408 17568 19581 23112 26108 26352 30816 39162 46224 52216 52704 58743 78324 92448 104432 117486 156648 176229 208864 234972 313296 352458 469944 626592 704916 939888 1409832 1879776 2819664 5639328