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9009216 = 263215641
BaseRepresentation
bin100010010111…
…100001000000
3121221201022200
4202113201000
54301243331
6521033200
7136401636
oct42274100
917851280
109009216
1150a3837
123025800
131b358c8
1412a7356
15bce5e6
hex897840

9009216 has 42 divisors (see below), whose sum is σ = 25824942. Its totient is φ = 3002880.

The previous prime is 9009199. The next prime is 9009223. The reversal of 9009216 is 6129009.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 9000000 + 9216 = 3000^2 + 96^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 9009216.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7245 + ... + 8396.

Almost surely, 29009216 is an apocalyptic number.

9009216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9009216 is an abundant number, since it is smaller than the sum of its proper divisors (16815726).

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

9009216 is a wasteful number, since it uses less digits than its factorization.

9009216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15659 (or 15646 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 9009216 is about 3001.5356069852. The cubic root of 9009216 is about 208.0793582787.

It can be divided in two parts, 900 and 9216, that multiplied together give a square (8294400 = 28802).

The spelling of 9009216 in words is "nine million, nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 15641 31282 46923 62564 93846 125128 140769 187692 250256 281538 375384 500512 563076 750768 1001024 1126152 1501536 2252304 3003072 4504608 9009216