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992213712 = 2435736457
BaseRepresentation
bin111011001000111…
…111101011010000
32120011000200100000
4323020333223100
54013001314322
6242242330000
733405451230
oct7310775320
92504020300
10992213712
1146a095936
12238359900
1312a742109
1495ac1cc0
155c1943ac
hex3b23fad0

992213712 has 120 divisors (see below), whose sum is σ = 3291136576. Its totient is φ = 283481856.

The previous prime is 992213707. The next prime is 992213771. The reversal of 992213712 is 217312299.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 8988 + ... + 45444.

Almost surely, 2992213712 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 992213712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645568288).

992213712 is an abundant number, since it is smaller than the sum of its proper divisors (2298922864).

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

992213712 is a wasteful number, since it uses less digits than its factorization.

992213712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36487 (or 36469 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 992213712 is about 31499.4239947336. The cubic root of 992213712 is about 997.3978051220.

The spelling of 992213712 in words is "nine hundred ninety-two million, two hundred thirteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 756 972 1008 1134 1296 1512 1701 1944 2268 3024 3402 3888 4536 6804 9072 13608 27216 36457 72914 109371 145828 218742 255199 291656 328113 437484 510398 583312 656226 765597 874968 984339 1020796 1312452 1531194 1749936 1968678 2041592 2296791 2624904 2953017 3062388 3937356 4083184 4593582 5249808 5906034 6124776 6890373 7874712 8859051 9187164 11812068 12249552 13780746 15749424 17718102 18374328 20671119 23624136 27561492 35436204 36748656 41342238 47248272 55122984 62013357 70872408 82684476 110245968 124026714 141744816 165368952 248053428 330737904 496106856 992213712