Search a number
-
+
51166332 = 22327277733
BaseRepresentation
bin1100001100101…
…1110001111100
310120021112000100
43003023301330
5101044310312
65024401100
71160622660
oct303136174
9116245010
1051166332
1126978028
1215176190
13a7a6249
146b1c8a0
15475a5dc
hex30cbc7c

51166332 has 72 divisors (see below), whose sum is σ = 148549856. Its totient is φ = 14546304.

The previous prime is 51166303. The next prime is 51166333. The reversal of 51166332 is 23366115.

It is a junction number, because it is equal to n+sod(n) for n = 51166296 and 51166305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51166333) 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, 69438 + ... + 70170.

Almost surely, 251166332 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 51166332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74274928).

51166332 is an abundant number, since it is smaller than the sum of its proper divisors (97383524).

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

51166332 is a wasteful number, since it uses less digits than its factorization.

51166332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1022 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 51166332 is about 7153.0645180929. The cubic root of 51166332 is about 371.2456966477.

The spelling of 51166332 in words is "fifty-one million, one hundred sixty-six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 277 554 733 831 1108 1466 1662 1939 2199 2493 2932 3324 3878 4398 4986 5131 5817 6597 7756 8796 9972 10262 11634 13194 15393 17451 20524 23268 26388 30786 34902 46179 61572 69804 92358 184716 203041 406082 609123 812164 1218246 1421287 1827369 2436492 2842574 3654738 4263861 5685148 7309476 8527722 12791583 17055444 25583166 51166332