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9090048 = 210311269
BaseRepresentation
bin100010101011…
…010000000000
3122002211012110
4202223100000
54311340143
6522455320
7140156412
oct42532000
918084173
109090048
115149540
123064540
131b63636
1412c89b2
15be8533
hex8ab400

9090048 has 88 divisors (see below), whose sum is σ = 26529120. Its totient is φ = 2744320.

The previous prime is 9090041. The next prime is 9090061. The reversal of 9090048 is 8400909.

It is a tau number, because it is divible by the number of its divisors (88).

It is a junction number, because it is equal to n+sod(n) for n = 9089997 and 9090024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9090041) 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 7 ways as a sum of consecutive naturals, for example, 33658 + ... + 33926.

Almost surely, 29090048 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 9090048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13264560).

9090048 is an abundant number, since it is smaller than the sum of its proper divisors (17439072).

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

9090048 is a wasteful number, since it uses less digits than its factorization.

9090048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 9090048 is about 3014.9706466233. The cubic root of 9090048 is about 208.6998124775.

The spelling of 9090048 in words is "nine million, ninety thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 269 352 384 512 528 538 704 768 807 1024 1056 1076 1408 1536 1614 2112 2152 2816 2959 3072 3228 4224 4304 5632 5918 6456 8448 8608 8877 11264 11836 12912 16896 17216 17754 23672 25824 33792 34432 35508 47344 51648 68864 71016 94688 103296 137728 142032 189376 206592 275456 284064 378752 413184 568128 757504 826368 1136256 1515008 2272512 3030016 4545024 9090048