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190784048 = 24721318719
BaseRepresentation
bin10110101111100…
…10001000110000
3111021222211111212
423113302020300
5342320042143
630533055252
74504431500
oct1327621060
9437884455
10190784048
1198768974
1253a87528
13306ab590
141b4a3a00
1511b38918
hexb5f2230

190784048 has 60 divisors (see below), whose sum is σ = 463095360. Its totient is φ = 75470976.

The previous prime is 190784039. The next prime is 190784063. The reversal of 190784048 is 840487091.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 190783996 and 190784014.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 833 + ... + 19551.

It is an arithmetic number, because the mean of its divisors is an integer number (7718256).

Almost surely, 2190784048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190784048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231547680).

190784048 is an abundant number, since it is smaller than the sum of its proper divisors (272311312).

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

190784048 is a wasteful number, since it uses less digits than its factorization.

190784048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18754 (or 18741 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The square root of 190784048 is about 13812.4598822947. The cubic root of 190784048 is about 575.6793965585.

The spelling of 190784048 in words is "one hundred ninety million, seven hundred eighty-four thousand, forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 637 728 784 1274 1456 2548 5096 10192 18719 37438 74876 131033 149752 243347 262066 299504 486694 524132 917231 973388 1048264 1703429 1834462 1946776 2096528 3406858 3668924 3893552 6813716 7337848 11924003 13627432 14675696 23848006 27254864 47696012 95392024 190784048