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942800892 = 22311173113553
BaseRepresentation
bin111000001100011…
…111111111111100
32102201001020200120
4320030133333330
53412324112032
6233315254540
732235450435
oct7014377774
92381036616
10942800892
114442062a0
122238aa450
13120431067
148d2dc48c
1557b8362c
hex3831fffc

942800892 has 96 divisors (see below), whose sum is σ = 2623186944. Its totient is φ = 260198400.

The previous prime is 942800867. The next prime is 942800893. The reversal of 942800892 is 298008249.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (942800893) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62788 + ... + 76340.

It is an arithmetic number, because the mean of its divisors is an integer number (27324864).

Almost surely, 2942800892 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 942800892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311593472).

942800892 is an abundant number, since it is smaller than the sum of its proper divisors (1680386052).

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

942800892 is a wasteful number, since it uses less digits than its factorization.

942800892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13619 (or 13617 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 942800892 is about 30705.0629701357. The cubic root of 942800892 is about 980.5580925005.

The spelling of 942800892 in words is "nine hundred forty-two million, eight hundred thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 17 22 31 33 34 44 51 62 66 68 93 102 124 132 186 187 204 341 372 374 527 561 682 748 1023 1054 1122 1364 1581 2046 2108 2244 3162 4092 5797 6324 11594 13553 17391 23188 27106 34782 40659 54212 69564 81318 149083 162636 230401 298166 420143 447249 460802 596332 691203 840286 894498 921604 1260429 1382406 1680572 1788996 2520858 2534411 2764812 4621573 5041716 5068822 7142431 7603233 9243146 10137644 13864719 14284862 15206466 18486292 21427293 27729438 28569724 30412932 42854586 55458876 78566741 85709172 157133482 235700223 314266964 471400446 942800892