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992066292 = 223474211039
BaseRepresentation
bin111011001000011…
…011101011110100
32120010202012010000
4323020123223310
54012432110132
6242235231300
733404265360
oct7310335364
92503665100
10992066292
11469aa50a8
122382a8530
1312a6bcc99
1495a842a0
155c16587c
hex3b21baf4

992066292 has 120 divisors (see below), whose sum is σ = 2973850880. Its totient is φ = 282502080.

The previous prime is 992066267. The next prime is 992066303. The reversal of 992066292 is 292660299.

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 39 ways as a sum of consecutive naturals, for example, 954309 + ... + 955347.

Almost surely, 2992066292 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 992066292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486925440).

992066292 is an abundant number, since it is smaller than the sum of its proper divisors (1981784588).

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

992066292 is a wasteful number, since it uses less digits than its factorization.

992066292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 992066292 is about 31497.0838650184. The cubic root of 992066292 is about 997.3484059300.

The spelling of 992066292 in words is "nine hundred ninety-two million, sixty-six thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 421 567 756 842 1039 1134 1263 1684 2078 2268 2526 2947 3117 3789 4156 5052 5894 6234 7273 7578 8841 9351 11367 11788 12468 14546 15156 17682 18702 21819 22734 26523 28053 29092 34101 35364 37404 43638 45468 53046 56106 65457 68202 79569 84159 87276 106092 112212 130914 136404 159138 168318 196371 238707 261828 318276 336636 392742 437419 477414 589113 785484 874838 954828 1178226 1312257 1749676 2356452 2624514 3061933 3936771 5249028 6123866 7873542 9185799 11810313 12247732 15747084 18371598 23620626 27557397 35430939 36743196 47241252 55114794 70861878 82672191 110229588 141723756 165344382 248016573 330688764 496033146 992066292