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43142064 = 2437128399
BaseRepresentation
bin1010010010010…
…0101110110000
310000011211210020
42210210232300
542021021224
64140403440
71032462420
oct244445660
9100154706
1043142064
11223972a9
1212546580
138c26a64
145a30480
153bc2c79
hex2924bb0

43142064 has 40 divisors (see below), whose sum is σ = 127372800. Its totient is φ = 12326208.

The previous prime is 43142063. The next prime is 43142069. The reversal of 43142064 is 46024134.

It is a super-2 number, since 2×431420642 = 3722475372360192, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (43142063) 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 7 ways as a sum of consecutive naturals, for example, 63864 + ... + 64535.

It is an arithmetic number, because the mean of its divisors is an integer number (3184320).

Almost surely, 243142064 is an apocalyptic number.

It is an amenable number.

43142064 is an abundant number, since it is smaller than the sum of its proper divisors (84230736).

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

43142064 is a wasteful number, since it uses less digits than its factorization.

43142064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128417 (or 128411 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 43142064 is about 6568.2618705408. The cubic root of 43142064 is about 350.7252011051.

Adding to 43142064 its reverse (46024134), we get a palindrome (89166198).

The spelling of 43142064 in words is "forty-three million, one hundred forty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 128399 256798 385197 513596 770394 898793 1027192 1540788 1797586 2054384 2696379 3081576 3595172 5392758 6163152 7190344 10785516 14380688 21571032 43142064