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2553232 = 241189163
BaseRepresentation
bin1001101111010110010000
311210201101011
421233112100
51123200412
6130420304
730462553
oct11572620
94721334
102553232
111494310
12a31694
136b51b6
144a669a
153567a7
hex26f590

2553232 has 40 divisors (see below), whose sum is σ = 5490720. Its totient is φ = 1140480.

The previous prime is 2553227. The next prime is 2553233. The reversal of 2553232 is 2323552.

2553232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a d-powerful number, because it can be written as 29 + 54 + 56 + 33 + 218 + 311 + 221 .

It is not an unprimeable number, because it can be changed into a prime (2553233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15583 + ... + 15745.

It is an arithmetic number, because the mean of its divisors is an integer number (137268).

22553232 is an apocalyptic number.

2553232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2745360).

2553232 is an abundant number, since it is smaller than the sum of its proper divisors (2937488).

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

2553232 is a wasteful number, since it uses less digits than its factorization.

2553232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 265 counting only the distinct ones).

The product of its digits is 1800, while the sum is 22.

The square root of 2553232 is about 1597.8836002663. The cubic root of 2553232 is about 136.6774160360.

Adding to 2553232 its reverse (2323552), we get a palindrome (4876784).

The spelling of 2553232 in words is "two million, five hundred fifty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 89 163 176 178 326 356 652 712 979 1304 1424 1793 1958 2608 3586 3916 7172 7832 14344 14507 15664 28688 29014 58028 116056 159577 232112 319154 638308 1276616 2553232