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99441 = 3329127
BaseRepresentation
bin11000010001110001
312001102000
4120101301
511140231
62044213
7562626
oct302161
9161360
1099441
1168791
1249669
1336354
142834d
151e6e6
hex18471

99441 has 16 divisors (see below), whose sum is σ = 153600. Its totient is φ = 63504.

The previous prime is 99439. The next prime is 99469. The reversal of 99441 is 14499.

It is not a de Polignac number, because 99441 - 21 = 99439 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 99441.

It is not an unprimeable number, because it can be changed into a prime (99401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 720 + ... + 846.

It is an arithmetic number, because the mean of its divisors is an integer number (9600).

299441 is an apocalyptic number.

It is an amenable number.

99441 is a deficient number, since it is larger than the sum of its proper divisors (54159).

99441 is a wasteful number, since it uses less digits than its factorization.

99441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 159 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 99441 is about 315.3426707567. The cubic root of 99441 is about 46.3292384054.

It can be divided in two parts, 994 and 41, that added together give a triangular number (1035 = T45).

The spelling of 99441 in words is "ninety-nine thousand, four hundred forty-one".

Divisors: 1 3 9 27 29 87 127 261 381 783 1143 3429 3683 11049 33147 99441