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996743826 = 233138771619
BaseRepresentation
bin111011011010010…
…001101010010010
32120110112211111000
4323122101222102
54020131300301
6242523402430
733462116451
oct7332215222
92513484430
10996743826
114716aa431
12239983416
1312b66a060
1496540b98
155c78b786
hex3b691a92

996743826 has 64 divisors (see below), whose sum is σ = 2389564800. Its totient is φ = 306151488.

The previous prime is 996743809. The next prime is 996743863. The reversal of 996743826 is 628347699.

It is a happy number.

996743826 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 614845 + ... + 616463.

It is an arithmetic number, because the mean of its divisors is an integer number (37336950).

Almost surely, 2996743826 is an apocalyptic number.

996743826 is the 15786-th decagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996743826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194782400).

996743826 is an abundant number, since it is smaller than the sum of its proper divisors (1392820974).

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

996743826 is a wasteful number, since it uses less digits than its factorization.

996743826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2520 (or 2514 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 996743826 is about 31571.2499910916. The cubic root of 996743826 is about 998.9134284566.

The spelling of 996743826 in words is "nine hundred ninety-six million, seven hundred forty-three thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 877 1619 1754 2631 3238 4857 5262 7893 9714 11401 14571 15786 21047 22802 23679 29142 34203 42094 43713 47358 63141 68406 87426 102609 126282 189423 205218 307827 378846 568269 615654 1136538 1419863 2839726 4259589 8519178 12778767 18458219 25557534 36916438 38336301 55374657 76672602 110749314 166123971 332247942 498371913 996743826