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43141968 = 24321312287
BaseRepresentation
bin1010010010010…
…0101101010000
310000011211122200
42210210231100
542021020333
64140403200
71032462222
oct244445520
9100154580
1043141968
1122397221
1212546500
138c269bc
145a30412
153bc2c13
hex2924b50

43141968 has 60 divisors (see below), whose sum is σ = 121712448. Its totient is φ = 14264640.

The previous prime is 43141961. The next prime is 43141991. The reversal of 43141968 is 86914134.

It is a super-2 number, since 2×431419682 = 3722458805826048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43141961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17721 + ... + 20007.

Almost surely, 243141968 is an apocalyptic number.

43141968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43141968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60856224).

43141968 is an abundant number, since it is smaller than the sum of its proper divisors (78570480).

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

43141968 is a wasteful number, since it uses less digits than its factorization.

43141968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2423 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 43141968 is about 6568.2545626673. The cubic root of 43141968 is about 350.7249409596.

The spelling of 43141968 in words is "forty-three million, one hundred forty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 131 144 262 393 524 786 1048 1179 1572 2096 2287 2358 3144 4574 4716 6288 6861 9148 9432 13722 18296 18864 20583 27444 36592 41166 54888 82332 109776 164664 299597 329328 599194 898791 1198388 1797582 2396776 2696373 3595164 4793552 5392746 7190328 10785492 14380656 21570984 43141968