Search a number
-
+
51194268 = 2235311699
BaseRepresentation
bin1100001101001…
…0100110011100
310120022221100000
43003102212130
5101101204033
65025134300
71161100266
oct303224634
9116287300
1051194268
1126997014
121518a390
13a7b5b88
146b28b36
154763a13
hex30d299c

51194268 has 72 divisors (see below), whose sum is σ = 138611200. Its totient is φ = 16504560.

The previous prime is 51194267. The next prime is 51194279. The reversal of 51194268 is 86249115.

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 (51194261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29283 + ... + 30981.

Almost surely, 251194268 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 51194268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69305600).

51194268 is an abundant number, since it is smaller than the sum of its proper divisors (87416932).

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

51194268 is a wasteful number, since it uses less digits than its factorization.

51194268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1735 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 51194268 is about 7155.0169811119. The cubic root of 51194268 is about 371.3132490952.

The spelling of 51194268 in words is "fifty-one million, one hundred ninety-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 243 279 324 372 486 558 837 972 1116 1674 1699 2511 3348 3398 5022 5097 6796 7533 10044 10194 15066 15291 20388 30132 30582 45873 52669 61164 91746 105338 137619 158007 183492 210676 275238 316014 412857 474021 550476 632028 825714 948042 1422063 1651428 1896084 2844126 4266189 5688252 8532378 12798567 17064756 25597134 51194268