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43024968 = 23327194493
BaseRepresentation
bin1010010000100…
…0001001001000
32222221220011100
42210020021020
542003244333
64134101400
71031464140
oct244101110
988856140
1043024968
1122317328
12124aa860
138bb567c
1459dd920
153b9d213
hex2908248

43024968 has 96 divisors (see below), whose sum is σ = 140212800. Its totient is φ = 11643264.

The previous prime is 43024963. The next prime is 43024979. The reversal of 43024968 is 86942034.

It is a happy number.

It is a super-2 number, since 2×430249682 = 3702295742802048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (43024963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7330 + ... + 11822.

It is an arithmetic number, because the mean of its divisors is an integer number (1460550).

Almost surely, 243024968 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 43024968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70106400).

43024968 is an abundant number, since it is smaller than the sum of its proper divisors (97187832).

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

43024968 is a wasteful number, since it uses less digits than its factorization.

43024968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4531 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 43024968 is about 6559.3420401745. The cubic root of 43024968 is about 350.4076013238.

The spelling of 43024968 in words is "forty-three million, twenty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1368 1596 2394 3192 4493 4788 8986 9576 13479 17972 26958 31451 35944 40437 53916 62902 80874 85367 94353 107832 125804 161748 170734 188706 251608 256101 283059 323496 341468 377412 512202 566118 597569 682936 754824 768303 1024404 1132236 1195138 1536606 1792707 2048808 2264472 2390276 3073212 3585414 4780552 5378121 6146424 7170828 10756242 14341656 21512484 43024968