Search a number
-
+
2532288 = 263112109
BaseRepresentation
bin1001101010001111000000
311202122122110
421222033000
51122013123
6130135320
730344523
oct11521700
94678573
102532288
11147a600
12a21540
136a87c5
1449cbba
15350493
hex26a3c0

2532288 has 84 divisors (see below), whose sum is σ = 7432040. Its totient is φ = 760320.

The previous prime is 2532281. The next prime is 2532289. The reversal of 2532288 is 8822352.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2532281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23178 + ... + 23286.

22532288 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 2532288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3716020).

2532288 is an abundant number, since it is smaller than the sum of its proper divisors (4899752).

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

2532288 is a wasteful number, since it uses less digits than its factorization.

2532288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 2532288 is about 1591.3164361622. The cubic root of 2532288 is about 136.3026707677.

Subtracting 2532288 from its reverse (8822352), we obtain a square (6290064 = 25082).

The spelling of 2532288 in words is "two million, five hundred thirty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 109 121 132 176 192 218 242 264 327 352 363 436 484 528 654 704 726 872 968 1056 1199 1308 1452 1744 1936 2112 2398 2616 2904 3488 3597 3872 4796 5232 5808 6976 7194 7744 9592 10464 11616 13189 14388 19184 20928 23232 26378 28776 38368 39567 52756 57552 76736 79134 105512 115104 158268 211024 230208 316536 422048 633072 844096 1266144 2532288