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43268984 = 23113797137
BaseRepresentation
bin1010010100001…
…1101101111000
310000102021212222
42211003231320
542034101414
64143223212
71033531433
oct245035570
9100367788
1043268984
11224736a0
12125a7b08
138c6c765
145a6481a
153bea68e
hex2943b78

43268984 has 64 divisors (see below), whose sum is σ = 92504160. Its totient is φ = 18800640.

The previous prime is 43268983. The next prime is 43268987. The reversal of 43268984 is 48986234.

43268984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

Its product of digits (331776) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43268983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315764 + ... + 315900.

Almost surely, 243268984 is an apocalyptic number.

43268984 is a gapful number since it is divisible by the number (44) 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 43268984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46252080).

43268984 is an abundant number, since it is smaller than the sum of its proper divisors (49235176).

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

43268984 is a wasteful number, since it uses less digits than its factorization.

43268984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 284 counting only the distinct ones).

The product of its digits is 331776, while the sum is 44.

The square root of 43268984 is about 6577.9163874285. The cubic root of 43268984 is about 351.0687981851.

The spelling of 43268984 in words is "forty-three million, two hundred sixty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 22 37 44 74 88 97 137 148 194 274 296 388 407 548 776 814 1067 1096 1507 1628 2134 3014 3256 3589 4268 5069 6028 7178 8536 10138 12056 13289 14356 20276 26578 28712 39479 40552 53156 55759 78958 106312 111518 146179 157916 223036 292358 315832 446072 491693 584716 983386 1169432 1966772 3933544 5408623 10817246 21634492 43268984