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19848992 = 252973293
BaseRepresentation
bin100101110110…
…1111100100000
31101100102200212
41023231330200
520040131432
61545233252
7330466532
oct113557440
941312625
1019848992
1110227929
126792828
13415c787
1428c9852
151b212b2
hex12edf20

19848992 has 48 divisors (see below), whose sum is σ = 41118840. Its totient is φ = 9418752.

The previous prime is 19848967. The next prime is 19849019. The reversal of 19848992 is 29984891.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19749136 + 99856 = 4444^2 + 316^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 19848992.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67598 + ... + 67890.

Almost surely, 219848992 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 19848992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20559420).

19848992 is an abundant number, since it is smaller than the sum of its proper divisors (21269848).

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

19848992 is a wasteful number, since it uses less digits than its factorization.

19848992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 397 counting only the distinct ones).

The product of its digits is 373248, while the sum is 50.

The square root of 19848992 is about 4455.2207577178. The cubic root of 19848992 is about 270.7568703962.

The spelling of 19848992 in words is "nineteen million, eight hundred forty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 29 32 58 73 116 146 232 292 293 464 584 586 928 1168 1172 2117 2336 2344 4234 4688 8468 8497 9376 16936 16994 21389 33872 33988 42778 67744 67976 85556 135952 171112 271904 342224 620281 684448 1240562 2481124 4962248 9924496 19848992