Search a number
-
+
194738448 = 24319673187
BaseRepresentation
bin10111001101101…
…11100100010000
3111120102201221010
423212313210100
5344323112243
631153530520
74553151402
oct1346674420
9446381833
10194738448
119aa19973
1255273a40
1331464468
141bc12b72
151216a433
hexb9b7910

194738448 has 80 divisors (see below), whose sum is σ = 537624320. Its totient is φ = 60559488.

The previous prime is 194738407. The next prime is 194738449. The reversal of 194738448 is 844837491.

194738448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 194738397 and 194738406.

It is not an unprimeable number, because it can be changed into a prime (194738449) 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, 59511 + ... + 62697.

It is an arithmetic number, because the mean of its divisors is an integer number (6720304).

Almost surely, 2194738448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 194738448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268812160).

194738448 is an abundant number, since it is smaller than the sum of its proper divisors (342885872).

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

194738448 is a wasteful number, since it uses less digits than its factorization.

194738448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3284 (or 3278 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 194738448 is about 13954.8718374624. The cubic root of 194738448 is about 579.6296168760.

The spelling of 194738448 in words is "one hundred ninety-four million, seven hundred thirty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 67 76 114 134 152 201 228 268 304 402 456 536 804 912 1072 1273 1608 2546 3187 3216 3819 5092 6374 7638 9561 10184 12748 15276 19122 20368 25496 30552 38244 50992 60553 61104 76488 121106 152976 181659 213529 242212 363318 427058 484424 640587 726636 854116 968848 1281174 1453272 1708232 2562348 2906544 3416464 4057051 5124696 8114102 10249392 12171153 16228204 24342306 32456408 48684612 64912816 97369224 194738448