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1919085048 = 233414831997
BaseRepresentation
bin111001001100010…
…1110100111111000
311221202002121210000
41302120232213320
512412241210143
6514232353000
765361645066
oct16230564770
94852077700
101919085048
118a5301001
12456845760
132477866aa
14142c35036
15b372cbd3
hex7262e9f8

1919085048 has 80 divisors (see below), whose sum is σ = 5381533080. Its totient is φ = 638943552.

The previous prime is 1919085019. The next prime is 1919085061. The reversal of 1919085048 is 8405809191.

It is a junction number, because it is equal to n+sod(n) for n = 1919084994 and 1919085012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 959986 + ... + 961982.

Almost surely, 21919085048 is an apocalyptic number.

1919085048 is a gapful number since it is divisible by the number (18) 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 1919085048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2690766540).

1919085048 is an abundant number, since it is smaller than the sum of its proper divisors (3462448032).

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

1919085048 is a wasteful number, since it uses less digits than its factorization.

1919085048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3498 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 1919085048 is about 43807.3629427748. The cubic root of 1919085048 is about 1242.6955426379.

The spelling of 1919085048 in words is "one billion, nine hundred nineteen million, eighty-five thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1483 1997 2966 3994 4449 5932 5991 7988 8898 11864 11982 13347 15976 17796 17973 23964 26694 35592 35946 40041 47928 53388 53919 71892 80082 106776 107838 120123 143784 160164 161757 215676 240246 320328 323514 431352 480492 647028 960984 1294056 2961551 5923102 8884653 11846204 17769306 23692408 26653959 35538612 53307918 71077224 79961877 106615836 159923754 213231672 239885631 319847508 479771262 639695016 959542524 1919085048