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43138752 = 263832707
BaseRepresentation
bin1010010010001…
…1111011000000
310000011200020120
42210203323000
542020420002
64140340240
71032446646
oct244437300
9100150216
1043138752
1122394868
1212544680
138c253b7
145a2d196
153bc1cbc
hex2923ec0

43138752 has 56 divisors (see below), whose sum is σ = 115555776. Its totient is φ = 14201088.

The previous prime is 43138727. The next prime is 43138757. The reversal of 43138752 is 25783134.

It is not an unprimeable number, because it can be changed into a prime (43138757) 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, 14583 + ... + 17289.

It is an arithmetic number, because the mean of its divisors is an integer number (2063496).

Almost surely, 243138752 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 43138752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57777888).

43138752 is an abundant number, since it is smaller than the sum of its proper divisors (72417024).

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

43138752 is a wasteful number, since it uses less digits than its factorization.

43138752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2805 (or 2795 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 43138752 is about 6568.0097442071. The cubic root of 43138752 is about 350.7162258616.

The spelling of 43138752 in words is "forty-three million, one hundred thirty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 166 192 249 332 498 664 996 1328 1992 2656 2707 3984 5312 5414 7968 8121 10828 15936 16242 21656 32484 43312 64968 86624 129936 173248 224681 259872 449362 519744 674043 898724 1348086 1797448 2696172 3594896 5392344 7189792 10784688 14379584 21569376 43138752