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194809440 = 25357371567
BaseRepresentation
bin10111001110010…
…00111001100000
3111120120100022110
423213020321200
5344332400230
631155235320
74553565360
oct1347107140
9446510273
10194809440
119aa68241
12552a8b40
133148a877
141bc309a0
15121814b0
hexb9c8e60

194809440 has 192 divisors, whose sum is σ = 720728064. Its totient is φ = 43296768.

The previous prime is 194809429. The next prime is 194809453. The reversal of 194809440 is 44908491.

It is a super-2 number, since 2×1948094402 = 75901435826227200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 123537 + ... + 125103.

It is an arithmetic number, because the mean of its divisors is an integer number (3753792).

Almost surely, 2194809440 is an apocalyptic number.

194809440 is a gapful number since it is divisible by the number (10) 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 194809440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360364032).

194809440 is an abundant number, since it is smaller than the sum of its proper divisors (525918624).

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

194809440 is a wasteful number, since it uses less digits than its factorization.

194809440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 194809440 is about 13957.4152334879. The cubic root of 194809440 is about 579.7000430757.

It can be divided in two parts, 19480 and 9440, that added together give a triangular number (28920 = T240).

The spelling of 194809440 in words is "one hundred ninety-four million, eight hundred nine thousand, four hundred forty".