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9052896 = 253181521
BaseRepresentation
bin100010100010…
…001011100000
3122000221020110
4202202023200
54304143041
6522011320
7136643166
oct42421340
918027213
109052896
115123636
123046b40
131b4c758
1412b9236
15bdc516
hex8a22e0

9052896 has 48 divisors (see below), whose sum is σ = 23941008. Its totient is φ = 2995200.

The previous prime is 9052871. The next prime is 9052907. The reversal of 9052896 is 6982509.

It is a happy number.

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17116 + ... + 17636.

It is an arithmetic number, because the mean of its divisors is an integer number (498771).

Almost surely, 29052896 is an apocalyptic number.

9052896 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 9052896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11970504).

9052896 is an abundant number, since it is smaller than the sum of its proper divisors (14888112).

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

9052896 is a wasteful number, since it uses less digits than its factorization.

9052896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 9052896 is about 3008.8030842845. The cubic root of 9052896 is about 208.4150980744.

The spelling of 9052896 in words is "nine million, fifty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 181 362 521 543 724 1042 1086 1448 1563 2084 2172 2896 3126 4168 4344 5792 6252 8336 8688 12504 16672 17376 25008 50016 94301 188602 282903 377204 565806 754408 1131612 1508816 2263224 3017632 4526448 9052896