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99834496 = 277731009
BaseRepresentation
bin1011111001101…
…01101010000000
320221212010011221
411330311222000
5201024200441
613523444424
72321402446
oct574655200
9227763157
1099834496
1151399153
1229526714
13178b6388
14d38ab96
158b708d1
hex5f35a80

99834496 has 32 divisors (see below), whose sum is σ = 199343700. Its totient is φ = 49803264.

The previous prime is 99834481. The next prime is 99834499. The reversal of 99834496 is 69443899.

It can be written as a sum of positive squares in 2 ways, for example, as 87160896 + 12673600 = 9336^2 + 3560^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (99834499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98440 + ... + 99448.

Almost surely, 299834496 is an apocalyptic number.

It is an amenable number.

99834496 is a deficient number, since it is larger than the sum of its proper divisors (99509204).

99834496 is a wasteful number, since it uses less digits than its factorization.

99834496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1784 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 52.

The square root of 99834496 is about 9991.7213732169. The cubic root of 99834496 is about 463.9026747913.

It can be divided in two parts, 9 and 9834496, that multiplied together give a square (88510464 = 94082).

The spelling of 99834496 in words is "ninety-nine million, eight hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 773 1009 1546 2018 3092 4036 6184 8072 12368 16144 24736 32288 49472 64576 98944 129152 779957 1559914 3119828 6239656 12479312 24958624 49917248 99834496