Search a number
-
+
996295608 = 2332711217312
BaseRepresentation
bin111011011000100…
…100001110111000
32120102201001122100
4323120210032320
54020022424413
6242510023400
733455241630
oct7330441670
92512631570
10996295608
11471423700
122397a7b60
1312b541039
14964656c0
155c6eda73
hex3b6243b8

996295608 has 432 divisors, whose sum is σ = 3708497520. Its totient is φ = 235699200.

The previous prime is 996295607. The next prime is 996295627. The reversal of 996295608 is 806592699.

996295608 is a `hidden beast` number, since 9 + 9 + 6 + 29 + 5 + 608 = 666.

996295608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996295607) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 32138553 + ... + 32138583.

It is an arithmetic number, because the mean of its divisors is an integer number (8584485).

Almost surely, 2996295608 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 996295608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854248760).

996295608 is an abundant number, since it is smaller than the sum of its proper divisors (2712201912).

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

996295608 is a wasteful number, since it uses less digits than its factorization.

996295608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The square root of 996295608 is about 31564.1506776279. The cubic root of 996295608 is about 998.7636747966.

It can be divided in two parts, 9962 and 95608, that added together give a triangular number (105570 = T459).

The spelling of 996295608 in words is "nine hundred ninety-six million, two hundred ninety-five thousand, six hundred eight".