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99088048 = 24233509
BaseRepresentation
bin1011110011111…
…11011010110000
320220110012020201
411321333122300
5200331304143
613455444544
72312143303
oct571773260
9226405221
1099088048
1150a29354
1229226754
13176b46a7
14d234b3a
158a7464d
hex5e7f6b0

99088048 has 40 divisors (see below), whose sum is σ = 201103200. Its totient is φ = 47296832.

The previous prime is 99088027. The next prime is 99088049. The reversal of 99088048 is 84088099.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 99087989 and 99088007.

It is not an unprimeable number, because it can be changed into a prime (99088049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194418 + ... + 194926.

It is an arithmetic number, because the mean of its divisors is an integer number (5027580).

Almost surely, 299088048 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 99088048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100551600).

99088048 is an abundant number, since it is smaller than the sum of its proper divisors (102015152).

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

99088048 is an equidigital number, since it uses as much as digits as its factorization.

99088048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The square root of 99088048 is about 9954.2979662054. The cubic root of 99088048 is about 462.7436036387.

It can be divided in two parts, 9908 and 8048, that added together give a square (17956 = 1342).

The spelling of 99088048 in words is "ninety-nine million, eighty-eight thousand, forty-eight".

Divisors: 1 2 4 8 16 23 46 92 184 368 509 529 1018 1058 2036 2116 4072 4232 8144 8464 11707 12167 23414 24334 46828 48668 93656 97336 187312 194672 269261 538522 1077044 2154088 4308176 6193003 12386006 24772012 49544024 99088048