Search a number
-
+
2409240042 = 23211101911941
BaseRepresentation
bin1000111110011010…
…0001010111101010
320012220102002000200
42033212201113222
514413231140132
61035022213030
7113463126306
oct21746412752
96186362020
102409240042
111026a53780
12572a24176
132c51a2631
1418bd86d06
15e179dd7c
hex8f9a15ea

2409240042 has 48 divisors (see below), whose sum is σ = 5700633120. Its totient is φ = 729295200.

The previous prime is 2409240019. The next prime is 2409240049. The reversal of 2409240042 is 2400429042.

It is a junction number, because it is equal to n+sod(n) for n = 2409239988 and 2409240015.

It is not an unprimeable number, because it can be changed into a prime (2409240049) 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 23 ways as a sum of consecutive naturals, for example, 195792 + ... + 207732.

It is an arithmetic number, because the mean of its divisors is an integer number (118763190).

Almost surely, 22409240042 is an apocalyptic number.

2409240042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2409240042 is an abundant number, since it is smaller than the sum of its proper divisors (3291393078).

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

2409240042 is a wasteful number, since it uses less digits than its factorization.

2409240042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12979 (or 12976 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2409240042 is about 49084.0100440052. The cubic root of 2409240042 is about 1340.5819188595.

Adding to 2409240042 its reverse (2400429042), we get a palindrome (4809669084).

The spelling of 2409240042 in words is "two billion, four hundred nine million, two hundred forty thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1019 2038 3057 6114 9171 11209 11941 18342 22418 23882 33627 35823 67254 71646 100881 107469 131351 201762 214938 262702 394053 788106 1182159 2364318 12167879 24335758 36503637 73007274 109510911 133846669 219021822 267693338 401540007 803080014 1204620021 2409240042