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996409441 = 61137311897
BaseRepresentation
bin111011011001000…
…000000001100001
32120102220211210101
4323121000001201
54020040100231
6242512302401
733456224536
oct7331000141
92512824711
10996409441
114714a1185
12239841a01
1312b580ab1
1496494d8d
155c722661
hex3b640061

996409441 has 8 divisors (see below), whose sum is σ = 1013566824. Its totient is φ = 979278720.

The previous prime is 996409417. The next prime is 996409489. The reversal of 996409441 is 144904699.

996409441 = 223202 + 223212.

It can be written as a sum of positive squares in 4 ways, for example, as 498182400 + 498227041 = 22320^2 + 22321^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 996409441 - 27 = 996409313 is a prime.

It is a super-2 number, since 2×9964094412 = 1985663548227864962, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 996409391 and 996409400.

It is not an unprimeable number, because it can be changed into a prime (996409411) 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 7 ways as a sum of consecutive naturals, for example, 77805 + ... + 89701.

It is an arithmetic number, because the mean of its divisors is an integer number (126695853).

Almost surely, 2996409441 is an apocalyptic number.

996409441 is the 22321-st centered square number.

It is an amenable number.

996409441 is a deficient number, since it is larger than the sum of its proper divisors (17157383).

996409441 is a wasteful number, since it uses less digits than its factorization.

996409441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13331.

The product of its (nonzero) digits is 279936, while the sum is 46.

The square root of 996409441 is about 31565.9538268686. The cubic root of 996409441 is about 998.8017116786.

The spelling of 996409441 in words is "nine hundred ninety-six million, four hundred nine thousand, four hundred forty-one".

Divisors: 1 61 1373 11897 83753 725717 16334581 996409441