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996749982 = 233891571321
BaseRepresentation
bin111011011010010…
…011001010011110
32120110120010221000
4323122103022132
54020131444412
6242523451130
733462143424
oct7332231236
92513503830
10996749982
11471704018
12239986aa6
1312b66cab7
1496543114
155c78d4dc
hex3b69329e

996749982 has 64 divisors (see below), whose sum is σ = 2255860800. Its totient is φ = 326177280.

The previous prime is 996749969. The next prime is 996749987. The reversal of 996749982 is 289947699.

996749982 is a `hidden beast` number, since 9 + 9 + 67 + 499 + 82 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996749987) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 753882 + ... + 755202.

It is an arithmetic number, because the mean of its divisors is an integer number (35247825).

Almost surely, 2996749982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996749982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127930400).

996749982 is an abundant number, since it is smaller than the sum of its proper divisors (1259110818).

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

996749982 is a wasteful number, since it uses less digits than its factorization.

996749982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1572 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 63.

The square root of 996749982 is about 31571.3474847052. The cubic root of 996749982 is about 998.9154849189.

The spelling of 996749982 in words is "nine hundred ninety-six million, seven hundred forty-nine thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 89 157 178 267 314 471 534 801 942 1321 1413 1602 2403 2642 2826 3963 4239 4806 7926 8478 11889 13973 23778 27946 35667 41919 71334 83838 117569 125757 207397 235138 251514 352707 377271 414794 622191 705414 754542 1058121 1244382 1866573 2116242 3174363 3733146 5599719 6348726 11199438 18458333 36916666 55374999 110749998 166124997 332249994 498374991 996749982