Search a number
-
+
51467052 = 22372136733
BaseRepresentation
bin1100010001010…
…1001100101100
310120211210112010
43010111030230
5101133421202
65035041220
71163314500
oct304251454
9116753463
1051467052
1127062a5a
12152a0210
13a8800a0
146b9a300
1547b976c
hex311532c

51467052 has 72 divisors (see below), whose sum is σ = 150464496. Its totient is φ = 13571712.

The previous prime is 51467033. The next prime is 51467069. The reversal of 51467052 is 25076415.

It is a super-3 number, since 3×514670523 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4278 + ... + 11010.

Almost surely, 251467052 is an apocalyptic number.

51467052 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51467052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75232248).

51467052 is an abundant number, since it is smaller than the sum of its proper divisors (98997444).

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

51467052 is a wasteful number, since it uses less digits than its factorization.

51467052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6767 (or 6758 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 51467052 is about 7174.0540839891. The cubic root of 51467052 is about 371.9715841400.

The spelling of 51467052 in words is "fifty-one million, four hundred sixty-seven thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2548 3822 6733 7644 13466 20199 26932 40398 47131 80796 87529 94262 141393 175058 188524 262587 282786 329917 350116 525174 565572 612703 659834 989751 1050348 1225406 1319668 1838109 1979502 2450812 3676218 3959004 4288921 7352436 8577842 12866763 17155684 25733526 51467052