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996762606 = 237213924391
BaseRepresentation
bin111011011010010…
…110001111101110
32120110120210020120
4323122112033232
54020132400411
6242524025410
733462225300
oct7332261756
92513523216
10996762606
11471712554
12239992266
1312b675778
1496547970
155c792106
hex3b6963ee

996762606 has 48 divisors (see below), whose sum is σ = 2335777920. Its totient is φ = 282728880.

The previous prime is 996762593. The next prime is 996762619. The reversal of 996762606 is 606267699.

It is an interprime number because it is at equal distance from previous prime (996762593) and next prime (996762619).

It is a super-2 number, since 2×9967626062 = 1987071385439822472, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28671 + ... + 53061.

It is an arithmetic number, because the mean of its divisors is an integer number (48662040).

Almost surely, 2996762606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996762606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167888960).

996762606 is an abundant number, since it is smaller than the sum of its proper divisors (1339015314).

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

996762606 is a wasteful number, since it uses less digits than its factorization.

996762606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24549 (or 24542 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The square root of 996762606 is about 31571.5474121874. The cubic root of 996762606 is about 998.9197020432.

The spelling of 996762606 in words is "nine hundred ninety-six million, seven hundred sixty-two thousand, six hundred six".

Divisors: 1 2 3 6 7 14 21 42 49 98 139 147 278 294 417 834 973 1946 2919 5838 6811 13622 20433 24391 40866 48782 73173 146346 170737 341474 512211 1024422 1195159 2390318 3390349 3585477 6780698 7170954 10171047 20342094 23732443 47464886 71197329 142394658 166127101 332254202 498381303 996762606