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996399936 = 26327376679
BaseRepresentation
bin111011011000111…
…101101101000000
32120102220100202100
4323120331231000
54020034244221
6242512150400
733456155040
oct7330755500
92512810670
10996399936
11471495024
12239838400
1312b57967c
1496491720
155c71e926
hex3b63db40

996399936 has 168 divisors, whose sum is σ = 3352718720. Its totient is φ = 276950016.

The previous prime is 996399931. The next prime is 996399949. The reversal of 996399936 is 639993699.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996399931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145845 + ... + 152523.

Almost surely, 2996399936 is an apocalyptic number.

996399936 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 996399936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676359360).

996399936 is an abundant number, since it is smaller than the sum of its proper divisors (2356318784).

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

996399936 is a wasteful number, since it uses less digits than its factorization.

996399936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6741 (or 6728 counting only the distinct ones).

The product of its digits is 19131876, while the sum is 63.

The square root of 996399936 is about 31565.8032687274. The cubic root of 996399936 is about 998.7985357284.

The spelling of 996399936 in words is "nine hundred ninety-six million, three hundred ninety-nine thousand, nine hundred thirty-six".