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996609744 = 243413149397
BaseRepresentation
bin111011011001110…
…000111011010000
32120110022000120000
4323121300323100
54020113002434
6242520450000
733461020524
oct7331607320
92513260500
10996609744
11471618719
12239919900
1312b621010
1496507d84
155c761b99
hex3b670ed0

996609744 has 200 divisors, whose sum is σ = 3135085800. Its totient is φ = 303823872.

The previous prime is 996609739. The next prime is 996609749. The reversal of 996609744 is 447906699.

It is an interprime number because it is at equal distance from previous prime (996609739) and next prime (996609749).

It can be written as a sum of positive squares in 4 ways, for example, as 4359744 + 992250000 = 2088^2 + 31500^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996609749) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2510154 + ... + 2510550.

It is an arithmetic number, because the mean of its divisors is an integer number (15675429).

Almost surely, 2996609744 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 996609744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567542900).

996609744 is an abundant number, since it is smaller than the sum of its proper divisors (2138476056).

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

996609744 is a wasteful number, since it uses less digits than its factorization.

996609744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 564 counting only the distinct ones).

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

The square root of 996609744 is about 31569.1264370746. The cubic root of 996609744 is about 998.8686351630.

The spelling of 996609744 in words is "nine hundred ninety-six million, six hundred nine thousand, seven hundred forty-four".