Search a number
-
+
5497128 = 2332713839
BaseRepresentation
bin10100111110000100101000
3101100021122100
4110332010220
52401402003
6313453400
764503420
oct24760450
911307570
105497128
11311508a
121a11260
1311a6150
14a31480
15738ba3
hex53e128

5497128 has 96 divisors (see below), whose sum is σ = 18345600. Its totient is φ = 1448064.

The previous prime is 5497123. The next prime is 5497133. The reversal of 5497128 is 8217945.

It is an interprime number because it is at equal distance from previous prime (5497123) and next prime (5497133).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5497092 and 5497101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5497123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6133 + ... + 6971.

It is an arithmetic number, because the mean of its divisors is an integer number (191100).

Almost surely, 25497128 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 5497128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9172800).

5497128 is an abundant number, since it is smaller than the sum of its proper divisors (12848472).

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

5497128 is a wasteful number, since it uses less digits than its factorization.

5497128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 864 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 5497128 is about 2344.5954874989. The cubic root of 5497128 is about 176.4866866882.

It can be divided in two parts, 5497 and 128, that added together give a square (5625 = 752).

The spelling of 5497128 in words is "five million, four hundred ninety-seven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 839 936 1092 1638 1678 2184 2517 3276 3356 5034 5873 6552 6712 7551 10068 10907 11746 15102 17619 20136 21814 23492 30204 32721 35238 43628 46984 52857 60408 65442 70476 76349 87256 98163 105714 130884 140952 152698 196326 211428 229047 261768 305396 392652 422856 458094 610792 687141 785304 916188 1374282 1832376 2748564 5497128