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1993425192 = 2332115214831
BaseRepresentation
bin111011011010001…
…0100000100101000
312010220222111021200
41312310110010220
513040304101232
6525450004200
7100253556153
oct16664240450
95126874250
101993425192
11933266940
12477716660
13259cb4845
1414ca66c9a
15ba01477c
hex76d14128

1993425192 has 96 divisors (see below), whose sum is σ = 5902191360. Its totient is φ = 602784000.

The previous prime is 1993425191. The next prime is 1993425199. The reversal of 1993425192 is 2915243991.

1993425192 is a `hidden beast` number, since 1 + 9 + 93 + 42 + 519 + 2 = 666.

It is a super-2 number, since 2×19934251922 = 7947487992200473728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1993425191) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 410217 + ... + 415047.

It is an arithmetic number, because the mean of its divisors is an integer number (61481160).

Almost surely, 21993425192 is an apocalyptic number.

1993425192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1993425192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2951095680).

1993425192 is an abundant number, since it is smaller than the sum of its proper divisors (3908766168).

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

1993425192 is a wasteful number, since it uses less digits than its factorization.

1993425192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5375 (or 5368 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The square root of 1993425192 is about 44647.7904492484. The cubic root of 1993425192 is about 1258.5389110707.

The spelling of 1993425192 in words is "one billion, nine hundred ninety-three million, four hundred twenty-five thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 521 792 1042 1563 2084 3126 4168 4689 4831 5731 6252 9378 9662 11462 12504 14493 17193 18756 19324 22924 28986 34386 37512 38648 43479 45848 51579 53141 57972 68772 86958 103158 106282 115944 137544 159423 173916 206316 212564 318846 347832 412632 425128 478269 637692 956538 1275384 1913076 2516951 3826152 5033902 7550853 10067804 15101706 20135608 22652559 27686461 30203412 45305118 55372922 60406824 83059383 90610236 110745844 166118766 181220472 221491688 249178149 332237532 498356298 664475064 996712596 1993425192