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43228432 = 24133741137
BaseRepresentation
bin1010010011100…
…1110100010000
310000100020021001
42210321310100
542031302212
64142311344
71033302262
oct244716420
9100306231
1043228432
1122446185
1212588554
138c57170
145a53b32
153bdd657
hex2939d10

43228432 has 80 divisors (see below), whose sum is σ = 95587632. Its totient is φ = 18800640.

The previous prime is 43228429. The next prime is 43228447. The reversal of 43228432 is 23482234.

It can be written as a sum of positive squares in 8 ways, for example, as 1806336 + 41422096 = 1344^2 + 6436^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 43228432.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 315468 + ... + 315604.

Almost surely, 243228432 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 43228432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47793816).

43228432 is an abundant number, since it is smaller than the sum of its proper divisors (52359200).

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

43228432 is a wasteful number, since it uses less digits than its factorization.

43228432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 43228432 is about 6574.8332298242. The cubic root of 43228432 is about 350.9590891786.

It can be divided in two parts, 43228 and 432, that added together give a triangular number (43660 = T295).

The spelling of 43228432 in words is "forty-three million, two hundred twenty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 37 41 52 74 82 104 137 148 164 208 274 296 328 481 533 548 592 656 962 1066 1096 1517 1781 1924 2132 2192 3034 3562 3848 4264 5069 5617 6068 7124 7696 8528 10138 11234 12136 14248 19721 20276 22468 24272 28496 39442 40552 44936 65897 73021 78884 81104 89872 131794 146042 157768 207829 263588 292084 315536 415658 527176 584168 831316 1054352 1168336 1662632 2701777 3325264 5403554 10807108 21614216 43228432