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996293376 = 283213293137
BaseRepresentation
bin111011011000100…
…011101100000000
32120102200221120200
4323120203230000
54020022342001
6242510005200
733455232261
oct7330435400
92512627520
10996293376
11471421a61
122397a6800
1312b540010
1496464968
155c6ed086
hex3b623b00

996293376 has 432 divisors, whose sum is σ = 3392712960. Its totient is φ = 278691840.

The previous prime is 996293341. The next prime is 996293387. The reversal of 996293376 is 673392699.

996293376 = T7320 + T7321 + ... + T7356.

It is a happy number.

996293376 is a `hidden beast` number, since 9 + 9 + 629 + 3 + 3 + 7 + 6 = 666.

It is a super-2 number, since 2×9962933762 = 1985200982122954752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26926830 + ... + 26926866.

Almost surely, 2996293376 is an apocalyptic number.

996293376 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 996293376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696356480).

996293376 is an abundant number, since it is smaller than the sum of its proper divisors (2396419584).

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

996293376 is a wasteful number, since it uses less digits than its factorization.

996293376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 115 counting only the distinct ones).

The product of its digits is 3306744, while the sum is 54.

The square root of 996293376 is about 31564.1153210414. The cubic root of 996293376 is about 998.7629289529.

The spelling of 996293376 in words is "nine hundred ninety-six million, two hundred ninety-three thousand, three hundred seventy-six".