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99906048 = 29351173
BaseRepresentation
bin1011111010001…
…11001000000000
320221222202100000
411331013020000
5201033443143
613525200000
72322121164
oct575071000
9227882300
1099906048
1151437990
1229560000
131790cb08
14d3a8ca4
158b86bd3
hex5f47200

99906048 has 240 divisors, whose sum is σ = 330666336. Its totient is φ = 29859840.

The previous prime is 99906041. The next prime is 99906049. The reversal of 99906048 is 84060999.

It is a Smith number, since the sum of its digits (45) 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 = 99905994 and 99906012.

It is not an unprimeable number, because it can be changed into a prime (99906041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1368540 + ... + 1368612.

Almost surely, 299906048 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 99906048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165333168).

99906048 is an abundant number, since it is smaller than the sum of its proper divisors (230760288).

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

99906048 is an equidigital number, since it uses as much as digits as its factorization.

99906048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 99906048 is about 9995.3012961091. The cubic root of 99906048 is about 464.0134756292.

The spelling of 99906048 in words is "ninety-nine million, nine hundred six thousand, forty-eight".