Search a number
-
+
400648 = 2361821
BaseRepresentation
bin1100001110100001000
3202100120211
41201310020
5100310043
612330504
73256033
oct1416410
9670524
10400648
11254016
12173a34
13110491
14a601a
157da9d
hex61d08

400648 has 16 divisors (see below), whose sum is σ = 764460. Its totient is φ = 196800.

The previous prime is 400643. The next prime is 400651. The reversal of 400648 is 846004.

400648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 334084 + 66564 = 578^2 + 258^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 400648.

It is not an unprimeable number, because it can be changed into a prime (400643) by changing a digit.

400648 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 78 + ... + 898.

2400648 is an apocalyptic number.

It is an amenable number.

400648 is a deficient number, since it is larger than the sum of its proper divisors (363812).

400648 is a wasteful number, since it uses less digits than its factorization.

400648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 400648 is about 632.9676137055. The cubic root of 400648 is about 73.7203960470.

The spelling of 400648 in words is "four hundred thousand, six hundred forty-eight".

Divisors: 1 2 4 8 61 122 244 488 821 1642 3284 6568 50081 100162 200324 400648