Search a number
-
+
194402728 = 23132532713
BaseRepresentation
bin10111001011001…
…01100110101000
3111112210200102001
423211211212220
5344231341403
631142420344
74550252542
oct1345454650
9445720361
10194402728
119a80a713
12551316b4
1331377700
141bb66692
1512100c1d
hexb9659a8

194402728 has 48 divisors (see below), whose sum is σ = 402296220. Its totient is φ = 87998976.

The previous prime is 194402717. The next prime is 194402729. The reversal of 194402728 is 827204491.

194402728 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 6 ways, for example, as 108618084 + 85784644 = 10422^2 + 9262^2 .

It is not an unprimeable number, because it can be changed into a prime (194402729) 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, 70300 + ... + 73012.

Almost surely, 2194402728 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 194402728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201148110).

194402728 is an abundant number, since it is smaller than the sum of its proper divisors (207893492).

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

194402728 is a wasteful number, since it uses less digits than its factorization.

194402728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 194402728 is about 13942.8378746939. The cubic root of 194402728 is about 579.2963404781.

The spelling of 194402728 in words is "one hundred ninety-four million, four hundred two thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 53 104 106 169 212 338 424 676 689 1352 1378 2713 2756 5426 5512 8957 10852 17914 21704 35269 35828 70538 71656 141076 143789 282152 287578 458497 575156 916994 1150312 1833988 1869257 3667976 3738514 7477028 14954056 24300341 48600682 97201364 194402728