Search a number
-
+
51434118 = 23223283439
BaseRepresentation
bin1100010000110…
…1001010000110
310120210010100100
43010031022012
5101131342433
65034224530
71163116461
oct304151206
9116703310
1051434118
112704023a
1215285146
13a86b0b8
146b8c2d8
1547aeb13
hex310d286

51434118 has 48 divisors (see below), whose sum is σ = 116962560. Its totient is φ = 16304112.

The previous prime is 51434093. The next prime is 51434171. The reversal of 51434118 is 81143415.

It is a happy number.

51434118 is a `hidden beast` number, since 514 + 34 + 118 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 51434091 and 51434100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116943 + ... + 117381.

It is an arithmetic number, because the mean of its divisors is an integer number (2436720).

Almost surely, 251434118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51434118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58481280).

51434118 is an abundant number, since it is smaller than the sum of its proper divisors (65528442).

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

51434118 is a wasteful number, since it uses less digits than its factorization.

51434118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 750 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 51434118 is about 7171.7583617966. The cubic root of 51434118 is about 371.8922251090.

It can be divided in two parts, 5143 and 4118, that added together give a cube (9261 = 213).

The spelling of 51434118 in words is "fifty-one million, four hundred thirty-four thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 283 414 439 566 849 878 1317 1698 2547 2634 3951 5094 6509 7902 10097 13018 19527 20194 30291 39054 58581 60582 90873 117162 124237 181746 248474 372711 745422 1118133 2236266 2857451 5714902 8572353 17144706 25717059 51434118