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194793984 = 293471161
BaseRepresentation
bin10111001110001…
…01001000000000
3111120112120010000
423213011020000
5344331401414
631155040000
74553502330
oct1347051000
9446476100
10194793984
119aa57670
12552a0000
1331483818
141bc290c0
151217bb09
hexb9c5200

194793984 has 400 divisors, whose sum is σ = 736756416. Its totient is φ = 49766400.

The previous prime is 194793979. The next prime is 194794031. The reversal of 194793984 is 489397491.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1959552) is a multiple of the sum of its prime divisors (84).

It is a self number, because there is not a number n which added to its sum of digits gives 194793984.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3193314 + ... + 3193374.

Almost surely, 2194793984 is an apocalyptic number.

194793984 is a gapful number since it is divisible by the number (14) 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 194793984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368378208).

194793984 is an abundant number, since it is smaller than the sum of its proper divisors (541962432).

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

194793984 is an equidigital number, since it uses as much as digits as its factorization.

194793984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 84 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 194793984 is about 13956.8615383259. The cubic root of 194793984 is about 579.6847117159.

The spelling of 194793984 in words is "one hundred ninety-four million, seven hundred ninety-three thousand, nine hundred eighty-four".