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400240242 = 23222235569
BaseRepresentation
bin10111110110110…
…010111001110010
31000220010022101200
4113312302321302
51304430141432
6103414312030
712626662113
oct2766627162
91026108350
10400240242
11195a1a466
12b2058616
1364bc6a5c
143b22820a
152520ea7c
hex17db2e72

400240242 has 12 divisors (see below), whose sum is σ = 867187230. Its totient is φ = 133413408.

The previous prime is 400240219. The next prime is 400240249. The reversal of 400240242 is 242042004.

400240242 is a `hidden beast` number, since 400 + 24 + 0 + 242 = 666.

It can be written as a sum of positive squares in only one way, i.e., 257891481 + 142348761 = 16059^2 + 11931^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 22235569 = 400240242 / (4 + 0 + 0 + 2 + 4 + 0 + 2 + 4 + 2).

It is not an unprimeable number, because it can be changed into a prime (400240249) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11117767 + ... + 11117802.

Almost surely, 2400240242 is an apocalyptic number.

400240242 is an abundant number, since it is smaller than the sum of its proper divisors (466946988).

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

400240242 is a wasteful number, since it uses less digits than its factorization.

400240242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22235577 (or 22235574 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 400240242 is about 20006.0051484548. The cubic root of 400240242 is about 736.9537800554.

Adding to 400240242 its reverse (242042004), we get a palindrome (642282246).

It can be divided in two parts, 4002 and 40242, that added together give a palindrome (44244).

The spelling of 400240242 in words is "four hundred million, two hundred forty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 22235569 44471138 66706707 133413414 200120121 400240242