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19812441 = 31131107181
BaseRepresentation
bin100101110010…
…1000001011001
31101021120120010
41023211001121
520032444231
61544352133
7330255135
oct113450131
941246503
1019812441
1110202420
126775649
134148c4c
1428ba3c5
151b15546
hex12e5059

19812441 has 32 divisors (see below), whose sum is σ = 30191616. Its totient is φ = 11448000.

The previous prime is 19812433. The next prime is 19812451. The reversal of 19812441 is 14421891.

It is not a de Polignac number, because 19812441 - 23 = 19812433 is a prime.

It is a super-3 number, since 3×198124413 (a number of 23 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19812399 and 19812408.

It is not an unprimeable number, because it can be changed into a prime (19812431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109371 + ... + 109551.

It is an arithmetic number, because the mean of its divisors is an integer number (943488).

Almost surely, 219812441 is an apocalyptic number.

19812441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

19812441 is a deficient number, since it is larger than the sum of its proper divisors (10379175).

19812441 is a wasteful number, since it uses less digits than its factorization.

19812441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333.

The product of its digits is 2304, while the sum is 30.

The square root of 19812441 is about 4451.1168261460. The cubic root of 19812441 is about 270.5905728633.

The spelling of 19812441 in words is "nineteen million, eight hundred twelve thousand, four hundred forty-one".

Divisors: 1 3 11 31 33 93 107 181 321 341 543 1023 1177 1991 3317 3531 5611 5973 9951 16833 19367 36487 58101 61721 109461 185163 213037 600377 639111 1801131 6604147 19812441