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996536736 = 253313172307
BaseRepresentation
bin111011011001011…
…111000110100000
32120110011022102000
4323121133012200
54020103133421
6242515124000
733460264626
oct7331370640
92513138360
10996536736
11471578888
122398a3600
1312b5c6a10
14964c9516
155c74a226
hex3b65f1a0

996536736 has 288 divisors, whose sum is σ = 3335935680. Its totient is φ = 287649792.

The previous prime is 996536713. The next prime is 996536741. The reversal of 996536736 is 637635699.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3245895 + ... + 3246201.

It is an arithmetic number, because the mean of its divisors is an integer number (11583110).

Almost surely, 2996536736 is an apocalyptic number.

996536736 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996536736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667967840).

996536736 is an abundant number, since it is smaller than the sum of its proper divisors (2339398944).

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

996536736 is a wasteful number, since it uses less digits than its factorization.

996536736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 342 counting only the distinct ones).

The product of its digits is 5511240, while the sum is 54.

The square root of 996536736 is about 31567.9700962859. The cubic root of 996536736 is about 998.8442434080.

The spelling of 996536736 in words is "nine hundred ninety-six million, five hundred thirty-six thousand, seven hundred thirty-six".