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992863392 = 253192292377
BaseRepresentation
bin111011001011011…
…110010010100000
32120012020200112020
4323023132102200
54013133112032
6242304301440
733414125313
oct7313362240
92505220466
10992863392
1146a499a64
12238611880
1312a90ba41
1495c1097a
155c271b2c
hex3b2de4a0

992863392 has 96 divisors (see below), whose sum is σ = 2756577600. Its totient is φ = 312035328.

The previous prime is 992863367. The next prime is 992863477. The reversal of 992863392 is 293368299.

992863392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 416508 + ... + 418884.

It is an arithmetic number, because the mean of its divisors is an integer number (28714350).

Almost surely, 2992863392 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 992863392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378288800).

992863392 is an abundant number, since it is smaller than the sum of its proper divisors (1763714208).

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

992863392 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (992863391) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (2630).

992863392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638 (or 2630 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 51.

The square root of 992863392 is about 31509.7348767012. The cubic root of 992863392 is about 997.6154491033.

The spelling of 992863392 in words is "nine hundred ninety-two million, eight hundred sixty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 229 304 456 458 608 687 912 916 1374 1824 1832 2377 2748 3664 4351 4754 5496 7131 7328 8702 9508 10992 13053 14262 17404 19016 21984 26106 28524 34808 38032 45163 52212 57048 69616 76064 90326 104424 114096 135489 139232 180652 208848 228192 270978 361304 417696 541956 544333 722608 1083912 1088666 1445216 1632999 2167824 2177332 3265998 4335648 4354664 6531996 8709328 10342327 13063992 17418656 20684654 26127984 31026981 41369308 52255968 62053962 82738616 124107924 165477232 248215848 330954464 496431696 992863392