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996779952 = 243374312
BaseRepresentation
bin111011011010011…
…010011110110000
32120110121200001000
4323122122132300
54020133424302
6242524242000
733462330000
oct7332323660
92513550030
10996779952
11471724593
122399a0300
1312b68062c
1496550000
155c79731c
hex3b69a7b0

996779952 has 300 divisors, whose sum is σ = 3448927320. Its totient is φ = 275607360.

The previous prime is 996779939. The next prime is 996779977. The reversal of 996779952 is 259977699.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 996779952.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32154177 + ... + 32154207.

Almost surely, 2996779952 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 996779952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724463660).

996779952 is an abundant number, since it is smaller than the sum of its proper divisors (2452147368).

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

996779952 is an equidigital number, since it uses as much as digits as its factorization.

996779952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 43 counting only the distinct ones).

The product of its digits is 19289340, while the sum is 63.

The square root of 996779952 is about 31571.8221203655. The cubic root of 996779952 is about 998.9254965225.

The spelling of 996779952 in words is "nine hundred ninety-six million, seven hundred seventy-nine thousand, nine hundred fifty-two".