Search a number
-
+
194978448 = 24337261151
BaseRepresentation
bin10111001111100…
…10001010010000
3111120212221011000
423213302022100
5344403302243
631203022000
74555201200
oct1347621220
9446787130
10194978448
11a0073215
125536a900
1331519782
141bc76400
15121b65d3
hexb9f2290

194978448 has 240 divisors, whose sum is σ = 666088320. Its totient is φ = 54432000.

The previous prime is 194978431. The next prime is 194978461. The reversal of 194978448 is 844879491.

194978448 is a `hidden beast` number, since 194 + 9 + 7 + 8 + 448 = 666.

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 (2322432) is a multiple of the sum of its prime divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 194978394 and 194978403.

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 47 ways as a sum of consecutive naturals, for example, 1291173 + ... + 1291323.

It is an arithmetic number, because the mean of its divisors is an integer number (2775368).

Almost surely, 2194978448 is an apocalyptic number.

194978448 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 194978448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333044160).

194978448 is an abundant number, since it is smaller than the sum of its proper divisors (471109872).

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

194978448 is a wasteful number, since it uses less digits than its factorization.

194978448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 224 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 194978448 is about 13963.4683370572. The cubic root of 194978448 is about 579.8676352723.

The spelling of 194978448 in words is "one hundred ninety-four million, nine hundred seventy-eight thousand, four hundred forty-eight".