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9890496 = 2632711223
BaseRepresentation
bin100101101110…
…101011000000
3200121111012200
4211232223000
510012443441
6551553200
7150032160
oct45565300
920544180
109890496
115645970
12338b800
132083a85
1414565a0
15d057b6
hex96eac0

9890496 has 168 divisors, whose sum is σ = 35503104. Its totient is φ = 2557440.

The previous prime is 9890467. The next prime is 9890501. The reversal of 9890496 is 6940989.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×98904962 = 195643822252032, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44241 + ... + 44463.

It is an arithmetic number, because the mean of its divisors is an integer number (211328).

Almost surely, 29890496 is an apocalyptic number.

9890496 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 9890496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17751552).

9890496 is an abundant number, since it is smaller than the sum of its proper divisors (25612608).

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

9890496 is a wasteful number, since it uses less digits than its factorization.

9890496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 9890496 is about 3144.9158971267. The cubic root of 9890496 is about 214.6541835691.

The spelling of 9890496 in words is "nine million, eight hundred ninety thousand, four hundred ninety-six".