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2533216 = 25743263
BaseRepresentation
bin1001101010011101100000
311202200220211
421222131200
51122030331
6130143504
730350320
oct11523540
94680824
102533216
111480274
12a21b94
136a905a
1449d280
153508b1
hex26a760

2533216 has 48 divisors (see below), whose sum is σ = 5854464. Its totient is φ = 1056384.

The previous prime is 2533211. The next prime is 2533217. The reversal of 2533216 is 6123352.

2533216 is nontrivially palindromic in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2533211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9501 + ... + 9763.

It is an arithmetic number, because the mean of its divisors is an integer number (121968).

22533216 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 2533216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927232).

2533216 is an abundant number, since it is smaller than the sum of its proper divisors (3321248).

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

2533216 is a wasteful number, since it uses less digits than its factorization.

2533216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 315 counting only the distinct ones).

The product of its digits is 1080, while the sum is 22.

The square root of 2533216 is about 1591.6079919377. The cubic root of 2533216 is about 136.3193188781.

Adding to 2533216 its reverse (6123352), we get a palindrome (8656568).

The spelling of 2533216 in words is "two million, five hundred thirty-three thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 263 301 344 526 602 688 1052 1204 1376 1841 2104 2408 3682 4208 4816 7364 8416 9632 11309 14728 22618 29456 45236 58912 79163 90472 158326 180944 316652 361888 633304 1266608 2533216