Search a number
-
+
43322016 = 253835437
BaseRepresentation
bin1010010101000…
…0101010100000
310000111222122010
42211100222200
542042301031
64144312520
71034142153
oct245205240
9100458563
1043322016
11224aa521
1212612740
138c8a93a
145a79c9a
153c0b246
hex2950aa0

43322016 has 48 divisors (see below), whose sum is σ = 115111584. Its totient is φ = 14264064.

The previous prime is 43322011. The next prime is 43322021. The reversal of 43322016 is 61022334.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (43322011) and next prime (43322021).

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 43321983 and 43322001.

It is not an unprimeable number, because it can be changed into a prime (43322011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5250 + ... + 10686.

It is an arithmetic number, because the mean of its divisors is an integer number (2398158).

Almost surely, 243322016 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 43322016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57555792).

43322016 is an abundant number, since it is smaller than the sum of its proper divisors (71789568).

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

43322016 is a wasteful number, since it uses less digits than its factorization.

43322016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5533 (or 5525 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 43322016 is about 6581.9462167356. The cubic root of 43322016 is about 351.2121670814.

The spelling of 43322016 in words is "forty-three million, three hundred twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1992 2656 3984 5437 7968 10874 16311 21748 32622 43496 65244 86992 130488 173984 260976 451271 521952 902542 1353813 1805084 2707626 3610168 5415252 7220336 10830504 14440672 21661008 43322016