Search a number
-
+
400643125 = 541095881
BaseRepresentation
bin10111111000010…
…101010000110101
31000220212210001021
4113320111100311
51310031040000
6103431101141
712633260521
oct2770252065
91026783037
10400643125
11196175123
12b22117b1
136500824c
143b2d0d81
152528e11a
hex17e15435

400643125 has 20 divisors (see below), whose sum is σ = 505322620. Its totient is φ = 317520000.

The previous prime is 400643107. The next prime is 400643129. The reversal of 400643125 is 521346004.

400643125 = 141532 + 141542.

It can be written as a sum of positive squares in 10 ways, for example, as 200335716 + 200307409 = 14154^2 + 14153^2 .

It is not a de Polignac number, because 400643125 - 211 = 400641077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 400643125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400643129) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 65185 + ... + 71065.

It is an arithmetic number, because the mean of its divisors is an integer number (25266131).

Almost surely, 2400643125 is an apocalyptic number.

400643125 is the 14154-th centered square number.

It is an amenable number.

400643125 is a deficient number, since it is larger than the sum of its proper divisors (104679495).

400643125 is an equidigital number, since it uses as much as digits as its factorization.

400643125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6010 (or 5995 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 400643125 is about 20016.0716675376. The cubic root of 400643125 is about 737.2009704110.

Adding to 400643125 its reverse (521346004), we get a palindrome (921989129).

The spelling of 400643125 in words is "four hundred million, six hundred forty-three thousand, one hundred twenty-five".

Divisors: 1 5 25 109 125 545 625 2725 5881 13625 29405 68125 147025 641029 735125 3205145 3675625 16025725 80128625 400643125