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2412257540 = 2257111566401
BaseRepresentation
bin1000111111001000…
…0010000100000100
320020010002101020212
42033302002010010
514420014220130
61035211014552
7113530564550
oct21762020404
96203071225
102412257540
111028724880
12573a3a458
132c59bac34
1418c530860
15e1b97e95
hex8fc82104

2412257540 has 48 divisors (see below), whose sum is σ = 6315732864. Its totient is φ = 751872000.

The previous prime is 2412257501. The next prime is 2412257543. The reversal of 2412257540 is 457522142.

It is a junction number, because it is equal to n+sod(n) for n = 2412257497 and 2412257506.

It is not an unprimeable number, because it can be changed into a prime (2412257543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 781661 + ... + 784740.

It is an arithmetic number, because the mean of its divisors is an integer number (131577768).

Almost surely, 22412257540 is an apocalyptic number.

2412257540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2412257540 is an abundant number, since it is smaller than the sum of its proper divisors (3903475324).

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

2412257540 is a wasteful number, since it uses less digits than its factorization.

2412257540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566428 (or 1566426 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 32.

The square root of 2412257540 is about 49114.7385211405. The cubic root of 2412257540 is about 1341.1413643737.

Adding to 2412257540 its reverse (457522142), we get a palindrome (2869779682).

It can be divided in two parts, 2412 and 257540, that added together give a palindrome (259952).

The spelling of 2412257540 in words is "two billion, four hundred twelve million, two hundred fifty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 1566401 3132802 6265604 7832005 10964807 15664010 17230411 21929614 31328020 34460822 43859228 54824035 68921644 86152055 109648070 120612877 172304110 219296140 241225754 344608220 482451508 603064385 1206128770 2412257540