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19048133 = 1310611381
BaseRepresentation
bin100100010101…
…0011011000101
31022211202010102
41020222123011
514334020013
61520133445
7320622626
oct110523305
938752112
1019048133
11a830165
126467285
133c3c0b0
14275ba4d
151a13d58
hex122a6c5

19048133 has 8 divisors (see below), whose sum is σ = 20547576. Its totient is φ = 17553600.

The previous prime is 19048129. The next prime is 19048151. The reversal of 19048133 is 33184091.

It can be written as a sum of positive squares in 4 ways, for example, as 1214404 + 17833729 = 1102^2 + 4223^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 19048133 - 22 = 19048129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 19048096 and 19048105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19048123) 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 7 ways as a sum of consecutive naturals, for example, 13103 + ... + 14483.

It is an arithmetic number, because the mean of its divisors is an integer number (2568447).

Almost surely, 219048133 is an apocalyptic number.

19048133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

19048133 is a deficient number, since it is larger than the sum of its proper divisors (1499443).

19048133 is a wasteful number, since it uses less digits than its factorization.

19048133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455.

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 19048133 is about 4364.4166849649. The cubic root of 19048133 is about 267.0653049964.

The spelling of 19048133 in words is "nineteen million, forty-eight thousand, one hundred thirty-three".

Divisors: 1 13 1061 1381 13793 17953 1465241 19048133