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9028896 = 253163577
BaseRepresentation
bin100010011100…
…010100100000
3121222201022120
4202130110200
54302411041
6521304240
7136513212
oct42342440
917881276
109028896
1151075a8
123035080
131b41856
1412b05b2
15bd5366
hex89c520

9028896 has 48 divisors (see below), whose sum is σ = 23887584. Its totient is φ = 2985984.

The previous prime is 9028891. The next prime is 9028919. The reversal of 9028896 is 6988209.

9028896 = T248 + T249 + ... + T410.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (9028891) 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, 15360 + ... + 15936.

It is an arithmetic number, because the mean of its divisors is an integer number (497658).

Almost surely, 29028896 is an apocalyptic number.

9028896 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9028896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11943792).

9028896 is an abundant number, since it is smaller than the sum of its proper divisors (14858688).

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

9028896 is a wasteful number, since it uses less digits than its factorization.

9028896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 9028896 is about 3004.8121405506. The cubic root of 9028896 is about 208.2307596747.

The spelling of 9028896 in words is "nine million, twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 163 326 489 577 652 978 1154 1304 1731 1956 2308 2608 3462 3912 4616 5216 6924 7824 9232 13848 15648 18464 27696 55392 94051 188102 282153 376204 564306 752408 1128612 1504816 2257224 3009632 4514448 9028896