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2541896 = 237192389
BaseRepresentation
bin1001101100100101001000
311210010211022
421230211020
51122320041
6130252012
730414530
oct11544510
94703738
102541896
111486845
12a27008
136acca6
144a24c0
1535324b
hex26c948

2541896 has 32 divisors (see below), whose sum is σ = 5736000. Its totient is φ = 1031616.

The previous prime is 2541883. The next prime is 2541899. The reversal of 2541896 is 6981452.

2541896 is nontrivially palindromic in base 13.

It is a super-2 number, since 2×25418962 = 12922470549632, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (2541899) 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, 131 + ... + 2258.

It is an arithmetic number, because the mean of its divisors is an integer number (179250).

22541896 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 2541896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868000).

2541896 is an abundant number, since it is smaller than the sum of its proper divisors (3194104).

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

2541896 is a wasteful number, since it uses less digits than its factorization.

2541896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421 (or 2417 counting only the distinct ones).

The product of its digits is 17280, while the sum is 35.

The square root of 2541896 is about 1594.3324621922. The cubic root of 2541896 is about 136.4748396067.

The spelling of 2541896 in words is "two million, five hundred forty-one thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 1064 2389 4778 9556 16723 19112 33446 45391 66892 90782 133784 181564 317737 363128 635474 1270948 2541896