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43051968 = 2632411823
BaseRepresentation
bin1010010000111…
…0101111000000
310000000021012100
42210032233000
542010130333
64134430400
71031635641
oct244165700
9100007170
1043051968
1122335643
1212502400
138bc4a4b
145a096c8
153ba6213
hex290ebc0

43051968 has 84 divisors (see below), whose sum is σ = 126479808. Its totient is φ = 13992960.

The previous prime is 43051961. The next prime is 43051991. The reversal of 43051968 is 86915034.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43051961) 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 11 ways as a sum of consecutive naturals, for example, 22705 + ... + 24527.

It is an arithmetic number, because the mean of its divisors is an integer number (1505712).

Almost surely, 243051968 is an apocalyptic number.

43051968 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 43051968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63239904).

43051968 is an abundant number, since it is smaller than the sum of its proper divisors (83427840).

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

43051968 is a wasteful number, since it uses less digits than its factorization.

43051968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 43051968 is about 6561.3998506416. The cubic root of 43051968 is about 350.4808845615.

The spelling of 43051968 in words is "forty-three million, fifty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 144 164 192 246 288 328 369 492 576 656 738 984 1312 1476 1823 1968 2624 2952 3646 3936 5469 5904 7292 7872 10938 11808 14584 16407 21876 23616 29168 32814 43752 58336 65628 74743 87504 116672 131256 149486 175008 224229 262512 298972 350016 448458 525024 597944 672687 896916 1050048 1195888 1345374 1793832 2391776 2690748 3587664 4783552 5381496 7175328 10762992 14350656 21525984 43051968