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4002401 = 133753157
BaseRepresentation
bin1111010001001001100001
321112100021002
433101021201
52011034101
6221441345
746006544
oct17211141
97470232
104002401
112294077
121410255
13aa19b0
1476285b
15540d6b
hex3d1261

4002401 has 16 divisors (see below), whose sum is σ = 4539024. Its totient is φ = 3504384.

The previous prime is 4002389. The next prime is 4002403. The reversal of 4002401 is 1042004.

It can be written as a sum of positive squares in 8 ways, for example, as 6400 + 3996001 = 80^2 + 1999^2 .

It is not a de Polignac number, because 4002401 - 26 = 4002337 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25415 + ... + 25571.

It is an arithmetic number, because the mean of its divisors is an integer number (283689).

Almost surely, 24002401 is an apocalyptic number.

It is an amenable number.

4002401 is a deficient number, since it is larger than the sum of its proper divisors (536623).

4002401 is a wasteful number, since it uses less digits than its factorization.

4002401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260.

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 4002401 is about 2000.6001599520. The cubic root of 4002401 is about 158.7718600934.

Adding to 4002401 its reverse (1042004), we get a palindrome (5044405).

It can be divided in two parts, 400 and 2401, that multiplied together give a square (960400 = 9802).

The spelling of 4002401 in words is "four million, two thousand, four hundred one".

Divisors: 1 13 37 53 157 481 689 1961 2041 5809 8321 25493 75517 108173 307877 4002401