Search a number
-
+
194411808 = 25322412801
BaseRepresentation
bin10111001011001…
…11110100100000
3111112211010212100
423211213310200
5344232134213
631142530400
74550321163
oct1345476440
9445733770
10194411808
119a816518
1255136a00
133137b896
141bb69ada
1512103773
hexb967d20

194411808 has 72 divisors (see below), whose sum is σ = 555350796. Its totient is φ = 64512000.

The previous prime is 194411797. The next prime is 194411809. The reversal of 194411808 is 808114491.

194411808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 190771344 + 3640464 = 13812^2 + 1908^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194411809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68008 + ... + 70808.

Almost surely, 2194411808 is an apocalyptic number.

194411808 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 194411808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277675398).

194411808 is an abundant number, since it is smaller than the sum of its proper divisors (360938988).

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

194411808 is a wasteful number, since it uses less digits than its factorization.

194411808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3058 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 194411808 is about 13943.1634860960. The cubic root of 194411808 is about 579.3053594340.

The spelling of 194411808 in words is "one hundred ninety-four million, four hundred eleven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 241 288 482 723 964 1446 1928 2169 2801 2892 3856 4338 5602 5784 7712 8403 8676 11204 11568 16806 17352 22408 23136 25209 33612 34704 44816 50418 67224 69408 89632 100836 134448 201672 268896 403344 675041 806688 1350082 2025123 2700164 4050246 5400328 6075369 8100492 10800656 12150738 16200984 21601312 24301476 32401968 48602952 64803936 97205904 194411808