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9290016 = 253232257
BaseRepresentation
bin100011011100…
…000100100000
3122110222111200
4203130010200
54334240031
6531041200
7141651411
oct43340440
918428450
109290016
1152757aa
123140200
131c03668
14133b808
15c378e6
hex8dc120

9290016 has 36 divisors (see below), whose sum is σ = 26419302. Its totient is φ = 3096576.

The previous prime is 9290009. The next prime is 9290033. The reversal of 9290016 is 6100929.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 8643600 + 646416 = 2940^2 + 804^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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, 15841 + ... + 16416.

Almost surely, 29290016 is an apocalyptic number.

9290016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9290016 is an abundant number, since it is smaller than the sum of its proper divisors (17129286).

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

9290016 is a wasteful number, since it uses less digits than its factorization.

9290016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32273 (or 32262 counting only the distinct ones).

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

The square root of 9290016 is about 3047.9527555394. The cubic root of 9290016 is about 210.2190910727.

The spelling of 9290016 in words is "nine million, two hundred ninety thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 32257 64514 96771 129028 193542 258056 290313 387084 516112 580626 774168 1032224 1161252 1548336 2322504 3096672 4645008 9290016