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9043968 = 217323
BaseRepresentation
bin100010100000…
…000000000000
3122000110222210
4202200000000
54303401333
6521502120
7136605153
oct42400000
918013883
109043968
11511795a
123041940
131b4867b
1412b5c9a
15bd9a63
hex8a0000

9043968 has 72 divisors (see below), whose sum is σ = 25165728. Its totient is φ = 2883584.

The previous prime is 9043967. The next prime is 9043987. The reversal of 9043968 is 8693409.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9043963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 393205 + ... + 393227.

It is an arithmetic number, because the mean of its divisors is an integer number (349524).

Almost surely, 29043968 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 9043968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12582864).

9043968 is an abundant number, since it is smaller than the sum of its proper divisors (16121760).

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

9043968 is an frugal number, since it uses more digits than its factorization.

9043968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 9043968 is about 3007.3190718645. The cubic root of 9043968 is about 208.3465622888.

It can be divided in two parts, 9043 and 968, that added together give a triangular number (10011 = T141).

The spelling of 9043968 in words is "nine million, forty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1024 1104 1472 1536 2048 2208 2944 3072 4096 4416 5888 6144 8192 8832 11776 12288 16384 17664 23552 24576 32768 35328 47104 49152 65536 70656 94208 98304 131072 141312 188416 196608 282624 376832 393216 565248 753664 1130496 1507328 2260992 3014656 4521984 9043968