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99484 = 227111719
BaseRepresentation
bin11000010010011100
312001110121
4120102130
511140414
62044324
7563020
oct302234
9161417
1099484
1168820
12496a4
1336388
1428380
151e724
hex1849c

99484 has 48 divisors (see below), whose sum is σ = 241920. Its totient is φ = 34560.

The previous prime is 99469. The next prime is 99487. The reversal of 99484 is 48499.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99487) 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, 5227 + ... + 5245.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

299484 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 99484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960).

99484 is an abundant number, since it is smaller than the sum of its proper divisors (142436).

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

99484 is a wasteful number, since it uses less digits than its factorization.

99484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 56 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The square root of 99484 is about 315.4108431871. The cubic root of 99484 is about 46.3359152964.

99484 divided by its sum of digits (34) gives a triangular number (2926 = T76).

The spelling of 99484 in words is "ninety-nine thousand, four hundred eighty-four".

Divisors: 1 2 4 7 11 14 17 19 22 28 34 38 44 68 76 77 119 133 154 187 209 238 266 308 323 374 418 476 532 646 748 836 1292 1309 1463 2261 2618 2926 3553 4522 5236 5852 7106 9044 14212 24871 49742 99484