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996404976 = 24357311181
BaseRepresentation
bin111011011000111…
…110111011110000
32120102220121200000
4323120332323300
54020034424401
6242512230000
733456205530
oct7330767360
92512817600
10996404976
11471498896
1223983b300
1312b57ba58
14964934c0
155c721186
hex3b63eef0

996404976 has 240 divisors, whose sum is σ = 3414448128. Its totient is φ = 275270400.

The previous prime is 996404963. The next prime is 996404993. The reversal of 996404976 is 679404699.

996404976 is a `hidden beast` number, since 99 + 64 + 0 + 497 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 843106 + ... + 844286.

Almost surely, 2996404976 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 996404976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707224064).

996404976 is an abundant number, since it is smaller than the sum of its proper divisors (2418043152).

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

996404976 is a wasteful number, since it uses less digits than its factorization.

996404976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 996404976 is about 31565.8831018554. The cubic root of 996404976 is about 998.8002197697.

The spelling of 996404976 in words is "nine hundred ninety-six million, four hundred four thousand, nine hundred seventy-six".