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99424 = 2513239
BaseRepresentation
bin11000010001100000
312001101101
4120101200
511140144
62044144
7562603
oct302140
9161341
1099424
1168776
1249654
1336340
142833a
151e6d4
hex18460

99424 has 24 divisors (see below), whose sum is σ = 211680. Its totient is φ = 45696.

The previous prime is 99409. The next prime is 99431. The reversal of 99424 is 42499.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 99392 and 99401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 297 + ... + 535.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

299424 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 99424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105840).

99424 is an abundant number, since it is smaller than the sum of its proper divisors (112256).

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

99424 is a wasteful number, since it uses less digits than its factorization.

99424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 254 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The square root of 99424 is about 315.3157148003. The cubic root of 99424 is about 46.3265981733.

Multiplying 99424 by its sum of digits (28), we get a palindrome (2783872).

The spelling of 99424 in words is "ninety-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 239 416 478 956 1912 3107 3824 6214 7648 12428 24856 49712 99424