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43142424 = 23313532609
BaseRepresentation
bin1010010010010…
…0110100011000
310000011212021120
42210210310120
542021024144
64140405240
71032463443
oct244446430
9100155246
1043142424
11223975a6
1212546820
138c26c80
145a3065a
153bc2e19
hex2924d18

43142424 has 64 divisors (see below), whose sum is σ = 118389600. Its totient is φ = 13019136.

The previous prime is 43142423. The next prime is 43142467. The reversal of 43142424 is 42424134.

It is a happy number.

It is a super-2 number, since 2×431424242 = 3722537497191552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 43142394 and 43142403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43142423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15232 + ... + 17840.

Almost surely, 243142424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43142424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59194800).

43142424 is an abundant number, since it is smaller than the sum of its proper divisors (75247176).

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

43142424 is a wasteful number, since it uses less digits than its factorization.

43142424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2684 (or 2680 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 43142424 is about 6568.2892749939. The cubic root of 43142424 is about 350.7261766474.

Adding to 43142424 its reverse (42424134), we get a palindrome (85566558).

The spelling of 43142424 in words is "forty-three million, one hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 53 78 104 106 156 159 212 312 318 424 636 689 1272 1378 2067 2609 2756 4134 5218 5512 7827 8268 10436 15654 16536 20872 31308 33917 62616 67834 101751 135668 138277 203502 271336 276554 407004 414831 553108 814008 829662 1106216 1659324 1797601 3318648 3595202 5392803 7190404 10785606 14380808 21571212 43142424