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19048041 = 36172953
BaseRepresentation
bin100100010101…
…0011001101001
31022211202000000
41020222121221
514334014131
61520133213
7320622435
oct110523151
938752000
1019048041
11a830091
126467209
133c3c03c
14275b9c5
151a13ce6
hex122a669

19048041 has 56 divisors (see below), whose sum is σ = 31871880. Its totient is φ = 11321856.

The previous prime is 19048039. The next prime is 19048063. The reversal of 19048041 is 14084091.

It can be written as a sum of positive squares in 4 ways, for example, as 7290000 + 11758041 = 2700^2 + 3429^2 .

It is not a de Polignac number, because 19048041 - 21 = 19048039 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 19047996 and 19048014.

It is not an unprimeable number, because it can be changed into a prime (19048541) 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 55 ways as a sum of consecutive naturals, for example, 359371 + ... + 359423.

Almost surely, 219048041 is an apocalyptic number.

It is an amenable number.

19048041 is a deficient number, since it is larger than the sum of its proper divisors (12823839).

19048041 is an equidigital number, since it uses as much as digits as its factorization.

19048041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 19048041 is about 4364.4061451703. The cubic root of 19048041 is about 267.0648750322.

The spelling of 19048041 in words is "nineteen million, forty-eight thousand, forty-one".

Divisors: 1 3 9 17 27 29 51 53 81 87 153 159 243 261 459 477 493 729 783 901 1377 1431 1479 1537 2349 2703 4131 4293 4437 4611 7047 8109 12393 12879 13311 13833 21141 24327 26129 38637 39933 41499 72981 78387 119799 124497 218943 235161 359397 373491 656829 705483 1120473 2116449 6349347 19048041