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2412353540 = 225137880421
BaseRepresentation
bin1000111111001001…
…1001100000000100
320020010021020221102
42033302121200010
514420030303130
61035213035232
7113531444462
oct21762314004
96203236842
102412353540
11102878aa13
12573a85b18
132c5a2283c
1418c557832
15e1bb6645
hex8fc99804

2412353540 has 24 divisors (see below), whose sum is σ = 5102925912. Its totient is φ = 957896960.

The previous prime is 2412353521. The next prime is 2412353549. The reversal of 2412353540 is 453532142.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 76177984 + 2336175556 = 8728^2 + 48334^2 .

It is not an unprimeable number, because it can be changed into a prime (2412353549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 437471 + ... + 442950.

It is an arithmetic number, because the mean of its divisors is an integer number (212621913).

Almost surely, 22412353540 is an apocalyptic number.

2412353540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2412353540 is an abundant number, since it is smaller than the sum of its proper divisors (2690572372).

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

2412353540 is a wasteful number, since it uses less digits than its factorization.

2412353540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880567 (or 880565 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 2412353540 is about 49115.7158147980. The cubic root of 2412353540 is about 1341.1591551583.

Adding to 2412353540 its reverse (453532142), we get a palindrome (2865885682).

The spelling of 2412353540 in words is "two billion, four hundred twelve million, three hundred fifty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 137 274 548 685 1370 2740 880421 1760842 3521684 4402105 8804210 17608420 120617677 241235354 482470708 603088385 1206176770 2412353540