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43421952 = 283741197
BaseRepresentation
bin1010010110100…
…1000100000000
310000201001201110
42211221010000
542104000302
64150403320
71035036420
oct245510400
9100631643
1043421952
1122568612
1212660540
138cc4282
145aa4480
153c2ab6c
hex2969100

43421952 has 144 divisors (see below), whose sum is σ = 135983232. Its totient is φ = 12042240.

The previous prime is 43421951. The next prime is 43421969. The reversal of 43421952 is 25912434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43421951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220318 + ... + 220514.

It is an arithmetic number, because the mean of its divisors is an integer number (944328).

Almost surely, 243421952 is an apocalyptic number.

43421952 is a gapful number since it is divisible by the number (42) 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 43421952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67991616).

43421952 is an abundant number, since it is smaller than the sum of its proper divisors (92561280).

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

43421952 is a wasteful number, since it uses less digits than its factorization.

43421952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 250 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 43421952 is about 6589.5335191499. The cubic root of 43421952 is about 351.4820205193.

The spelling of 43421952 in words is "forty-three million, four hundred twenty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 128 164 168 192 197 224 246 256 287 328 336 384 394 448 492 574 591 656 672 768 788 861 896 984 1148 1182 1312 1344 1379 1576 1722 1792 1968 2296 2364 2624 2688 2758 3152 3444 3936 4137 4592 4728 5248 5376 5516 6304 6888 7872 8077 8274 9184 9456 10496 11032 12608 13776 15744 16154 16548 18368 18912 22064 24231 25216 27552 31488 32308 33096 36736 37824 44128 48462 50432 55104 56539 64616 66192 73472 75648 88256 96924 110208 113078 129232 132384 151296 169617 176512 193848 220416 226156 258464 264768 339234 353024 387696 452312 516928 529536 678468 775392 904624 1033856 1059072 1356936 1550784 1809248 2067712 2713872 3101568 3618496 5427744 6203136 7236992 10855488 14473984 21710976 43421952