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9800441 = 72200009
BaseRepresentation
bin100101011000…
…101011111001
3200102220200022
4211120223321
510002103231
6550020225
7146205500
oct45305371
920386608
109800441
115594242
123347675
132051aa1
141431837
15cd8c7b
hex958af9

9800441 has 6 divisors (see below), whose sum is σ = 11400570. Its totient is φ = 8400336.

The previous prime is 9800423. The next prime is 9800467. The reversal of 9800441 is 1440089.

9800441 = 4232 + 4242 + ... + 4712.

It can be written as a sum of positive squares in only one way, i.e., 6175225 + 3625216 = 2485^2 + 1904^2 .

It is not a de Polignac number, because 9800441 - 214 = 9784057 is a prime.

It is a Duffinian number.

9800441 is a modest number, since divided by 441 gives 98 as remainder.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 9800441.

It is not an unprimeable number, because it can be changed into a prime (9800471) 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 5 ways as a sum of consecutive naturals, for example, 99956 + ... + 100053.

It is an arithmetic number, because the mean of its divisors is an integer number (1900095).

Almost surely, 29800441 is an apocalyptic number.

It is an amenable number.

9800441 is a deficient number, since it is larger than the sum of its proper divisors (1600129).

9800441 is a wasteful number, since it uses less digits than its factorization.

9800441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200023 (or 200016 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 9800441 is about 3130.5656038486. The cubic root of 9800441 is about 214.0007060273. Note that the first 3 decimals are identical.

The spelling of 9800441 in words is "nine million, eight hundred thousand, four hundred forty-one".

Divisors: 1 7 49 200009 1400063 9800441