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2542401 = 331729191
BaseRepresentation
bin1001101100101101000001
311210011112000
421230231001
51122324101
6130254213
730416151
oct11545501
94704460
102542401
111487164
12a27369
136b02a4
144a2761
15353486
hex26cb41

2542401 has 32 divisors (see below), whose sum is σ = 4147200. Its totient is φ = 1532160.

The previous prime is 2542399. The next prime is 2542417. The reversal of 2542401 is 1042452.

It is not a de Polignac number, because 2542401 - 21 = 2542399 is a prime.

It is an Ulam number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2542471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13216 + ... + 13406.

It is an arithmetic number, because the mean of its divisors is an integer number (129600).

22542401 is an apocalyptic number.

It is an amenable number.

2542401 is a deficient number, since it is larger than the sum of its proper divisors (1604799).

2542401 is a wasteful number, since it uses less digits than its factorization.

2542401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2542401 is about 1594.4908278193. The cubic root of 2542401 is about 136.4838768542.

Adding to 2542401 its reverse (1042452), we get a palindrome (3584853).

The spelling of 2542401 in words is "two million, five hundred forty-two thousand, four hundred one".

Divisors: 1 3 9 17 27 29 51 87 153 191 261 459 493 573 783 1479 1719 3247 4437 5157 5539 9741 13311 16617 29223 49851 87669 94163 149553 282489 847467 2542401