Search a number
-
+
194804832 = 25329167419
BaseRepresentation
bin10111001110001…
…11110001100000
3111120120002222210
423213013301200
5344332223312
631155202120
74553546055
oct1347076140
9446502883
10194804832
119aa64832
12552a6340
1331488741
141bc2d02c
151217ee3c
hexb9c7c60

194804832 has 96 divisors (see below), whose sum is σ = 533433600. Its totient is φ = 62171648.

The previous prime is 194804791. The next prime is 194804833. The reversal of 194804832 is 238408491.

194804832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194804833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 464719 + ... + 465137.

It is an arithmetic number, because the mean of its divisors is an integer number (5556600).

Almost surely, 2194804832 is an apocalyptic number.

194804832 is a gapful number since it is divisible by the number (12) 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 194804832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266716800).

194804832 is an abundant number, since it is smaller than the sum of its proper divisors (338628768).

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

194804832 is a wasteful number, since it uses less digits than its factorization.

194804832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 194804832 is about 13957.2501589676. The cubic root of 194804832 is about 579.6954723203.

The spelling of 194804832 in words is "one hundred ninety-four million, eight hundred four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 167 174 232 334 348 419 464 501 668 696 838 928 1002 1257 1336 1392 1676 2004 2514 2672 2784 3352 4008 4843 5028 5344 6704 8016 9686 10056 12151 13408 14529 16032 19372 20112 24302 29058 36453 38744 40224 48604 58116 69973 72906 77488 97208 116232 139946 145812 154976 194416 209919 232464 279892 291624 388832 419838 464928 559784 583248 839676 1119568 1166496 1679352 2029217 2239136 3358704 4058434 6087651 6717408 8116868 12175302 16233736 24350604 32467472 48701208 64934944 97402416 194804832