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2404200042 = 23414840741
BaseRepresentation
bin1000111101001101…
…0010111001101010
320012112221000110000
42033103102321222
514410433400132
61034322203430
7113402235366
oct21723227152
96175830400
102404200042
111024121092
125711b3576
132c412959a
1418b4342a6
15e110587c
hex8f4d2e6a

2404200042 has 20 divisors (see below), whose sum is σ = 5387189346. Its totient is φ = 801399960.

The previous prime is 2404200037. The next prime is 2404200049. The reversal of 2404200042 is 2400024042.

2404200042 is a `hidden beast` number, since 240 + 420 + 0 + 0 + 4 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1728148041 + 676052001 = 41571^2 + 26001^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2404199988 and 2404200024.

It is not an unprimeable number, because it can be changed into a prime (2404200049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7420209 + ... + 7420532.

Almost surely, 22404200042 is an apocalyptic number.

2404200042 is an abundant number, since it is smaller than the sum of its proper divisors (2982989304).

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

2404200042 is a wasteful number, since it uses less digits than its factorization.

2404200042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14840755 (or 14840746 counting only the distinct ones).

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

The square root of 2404200042 is about 49032.6426169343. The cubic root of 2404200042 is about 1339.6464579298.

Adding to 2404200042 its reverse (2400024042), we get a palindrome (4804224084).

The spelling of 2404200042 in words is "two billion, four hundred four million, two hundred thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 14840741 29681482 44522223 89044446 133566669 267133338 400700007 801400014 1202100021 2404200042