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43129044 = 2233789641
BaseRepresentation
bin1010010010000…
…1100011010100
310000011011221000
42210201203110
542020112134
64140223300
71032406440
oct244414324
9100134830
1043129044
1122388542
121253ab30
138c20b5a
145a29820
153bbde99
hex29218d4

43129044 has 96 divisors (see below), whose sum is σ = 129427200. Its totient is φ = 12165120.

The previous prime is 43129027. The next prime is 43129081. The reversal of 43129044 is 44092134.

It is a super-2 number, since 2×431290442 = 3720228872707872, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 43128999 and 43129017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66964 + ... + 67604.

It is an arithmetic number, because the mean of its divisors is an integer number (1348200).

Almost surely, 243129044 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 43129044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64713600).

43129044 is an abundant number, since it is smaller than the sum of its proper divisors (86298156).

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

43129044 is a wasteful number, since it uses less digits than its factorization.

43129044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 43129044 is about 6567.2706659616. The cubic root of 43129044 is about 350.6899153450.

The spelling of 43129044 in words is "forty-three million, one hundred twenty-nine thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 89 108 126 178 189 252 267 356 378 534 623 641 756 801 1068 1246 1282 1602 1869 1923 2403 2492 2564 3204 3738 3846 4487 4806 5607 5769 7476 7692 8974 9612 11214 11538 13461 16821 17307 17948 22428 23076 26922 33642 34614 40383 53844 57049 67284 69228 80766 114098 121149 161532 171147 228196 242298 342294 399343 484596 513441 684588 798686 1026882 1198029 1540323 1597372 2053764 2396058 3080646 3594087 4792116 6161292 7188174 10782261 14376348 21564522 43129044