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2541312 = 28321103
BaseRepresentation
bin1001101100011100000000
311210010000200
421230130000
51122310222
6130245200
730413034
oct11543400
94703020
102541312
111486364
12a26800
136ac947
144a21c4
15352eac
hex26c700

2541312 has 54 divisors (see below), whose sum is σ = 7333872. Its totient is φ = 846336.

The previous prime is 2541289. The next prime is 2541323. The reversal of 2541312 is 2131452.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1753 + ... + 2855.

22541312 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 2541312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3666936).

2541312 is an abundant number, since it is smaller than the sum of its proper divisors (4792560).

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

2541312 is a wasteful number, since it uses less digits than its factorization.

2541312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1108 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 2541312 is about 1594.1493029199. The cubic root of 2541312 is about 136.4643871189.

Adding to 2541312 its reverse (2131452), we get a palindrome (4672764).

It can be divided in two parts, 25413 and 12, that added together give a triangular number (25425 = T225).

The spelling of 2541312 in words is "two million, five hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1103 1152 2206 2304 3309 4412 6618 8824 9927 13236 17648 19854 26472 35296 39708 52944 70592 79416 105888 141184 158832 211776 282368 317664 423552 635328 847104 1270656 2541312