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10484288 = 261071531
BaseRepresentation
bin100111111111…
…101001000000
3201201122201222
4213333221000
510140444123
61012414212
7155054303
oct47775100
921648658
1010484288
115a11001
123617368
132231129
14156cb3a
15dc16c8
hex9ffa40

10484288 has 28 divisors (see below), whose sum is σ = 21012912. Its totient is φ = 5189760.

The previous prime is 10484281. The next prime is 10484317. The reversal of 10484288 is 88248401.

It is not an unprimeable number, because it can be changed into a prime (10484281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6083 + ... + 7613.

Almost surely, 210484288 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 10484288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10506456).

10484288 is an abundant number, since it is smaller than the sum of its proper divisors (10528624).

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

10484288 is a wasteful number, since it uses less digits than its factorization.

10484288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 35.

The square root of 10484288 is about 3237.9450273283. The cubic root of 10484288 is about 218.8666786519.

The spelling of 10484288 in words is "ten million, four hundred eighty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 107 214 428 856 1531 1712 3062 3424 6124 6848 12248 24496 48992 97984 163817 327634 655268 1310536 2621072 5242144 10484288