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194988416 = 277269809
BaseRepresentation
bin10111001111101…
…00100110000000
3111120220102211012
423213310212000
5344404112131
631203140052
74555242230
oct1347644600
9446812735
10194988416
11a007a757
1255374628
133152117c
141bc79cc0
15121b952b
hexb9f4980

194988416 has 64 divisors (see below), whose sum is σ = 446148000. Its totient is φ = 83152896.

The previous prime is 194988407. The next prime is 194988427. The reversal of 194988416 is 614889491.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 240620 + ... + 241428.

Almost surely, 2194988416 is an apocalyptic number.

194988416 is a gapful number since it is divisible by the number (16) 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 194988416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223074000).

194988416 is an abundant number, since it is smaller than the sum of its proper divisors (251159584).

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

194988416 is an equidigital number, since it uses as much as digits as its factorization.

194988416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1087 counting only the distinct ones).

The product of its digits is 497664, while the sum is 50.

The square root of 194988416 is about 13963.8252638738. The cubic root of 194988416 is about 579.8775167441.

The spelling of 194988416 in words is "one hundred ninety-four million, nine hundred eighty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 269 448 538 809 896 1076 1618 1883 2152 3236 3766 4304 5663 6472 7532 8608 11326 12944 15064 17216 22652 25888 30128 34432 45304 51776 60256 90608 103552 120512 181216 217621 241024 362432 435242 724864 870484 1523347 1740968 3046694 3481936 6093388 6963872 12186776 13927744 24373552 27855488 48747104 97494208 194988416