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43142436 = 22331812207
BaseRepresentation
bin1010010010010…
…0110100100100
310000011212022000
42210210310210
542021024221
64140405300
71032463461
oct244446444
9100155260
1043142436
1122397607
1212546830
138c26c8c
145a30668
153bc2e26
hex2924d24

43142436 has 48 divisors (see below), whose sum is σ = 112519680. Its totient is φ = 14294880.

The previous prime is 43142423. The next prime is 43142467. The reversal of 43142436 is 63424134.

It is a super-3 number, since 3×431424363 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18445 + ... + 20651.

It is an arithmetic number, because the mean of its divisors is an integer number (2344160).

Almost surely, 243142436 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 43142436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56259840).

43142436 is an abundant number, since it is smaller than the sum of its proper divisors (69377244).

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

43142436 is a wasteful number, since it uses less digits than its factorization.

43142436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2401 (or 2393 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 43142436 is about 6568.2901884737. The cubic root of 43142436 is about 350.7262091654.

The spelling of 43142436 in words is "forty-three million, one hundred forty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 181 362 543 724 1086 1629 2172 2207 3258 4414 4887 6516 6621 8828 9774 13242 19548 19863 26484 39726 59589 79452 119178 238356 399467 798934 1198401 1597868 2396802 3595203 4793604 7190406 10785609 14380812 21571218 43142436