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996594048 = 273223291297
BaseRepresentation
bin111011011001101…
…101000110000000
32120110021020000200
4323121231012000
54020112002143
6242520245200
733460624002
oct7331550600
92513236020
10996594048
1147160794a
12239910800
1312b616b28
1496502372
155c75c1d3
hex3b66d180

996594048 has 192 divisors, whose sum is σ = 3098066400. Its totient is φ = 306561024.

The previous prime is 996594013. The next prime is 996594089. The reversal of 996594048 is 840495699.

996594048 is a `hidden beast` number, since 9 + 9 + 6 + 594 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 996593985 and 996594003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 767736 + ... + 769032.

Almost surely, 2996594048 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 996594048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549033200).

996594048 is an abundant number, since it is smaller than the sum of its proper divisors (2101472352).

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

996594048 is a wasteful number, since it uses less digits than its factorization.

996594048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 996594048 is about 31568.8778387829. The cubic root of 996594048 is about 998.8633912767.

The spelling of 996594048 in words is "nine hundred ninety-six million, five hundred ninety-four thousand, forty-eight".