Search a number
-
+
51433228 = 227112171947
BaseRepresentation
bin1100010000110…
…0111100001100
310120210002010101
43010030330030
5101131330403
65034220444
71163114050
oct304147414
9116702111
1051433228
112703a600
1215284724
13a86a882
146b8bc60
1547ae71d
hex310cf0c

51433228 has 144 divisors (see below), whose sum is σ = 128701440. Its totient is φ = 17487360.

The previous prime is 51433169. The next prime is 51433231. The reversal of 51433228 is 82233415.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 51433196 and 51433205.

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 47 ways as a sum of consecutive naturals, for example, 1094301 + ... + 1094347.

It is an arithmetic number, because the mean of its divisors is an integer number (893760).

Almost surely, 251433228 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 51433228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64350720).

51433228 is an abundant number, since it is smaller than the sum of its proper divisors (77268212).

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

51433228 is a wasteful number, since it uses less digits than its factorization.

51433228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 103 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 51433228 is about 7171.6963125888. The cubic root of 51433228 is about 371.8900800607.

It can be divided in two parts, 51 and 433228, that multiplied together give a triangular number (22094628 = T6647).

The spelling of 51433228 in words is "fifty-one million, four hundred thirty-three thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 11 14 17 19 22 28 34 38 44 47 68 76 77 94 119 121 133 154 187 188 209 238 242 266 308 323 329 374 418 476 484 517 532 646 658 748 799 836 847 893 1034 1292 1309 1316 1463 1598 1694 1786 2057 2068 2261 2299 2618 2926 3196 3388 3553 3572 3619 4114 4522 4598 5236 5593 5687 5852 6251 7106 7238 8228 8789 9044 9196 9823 11186 11374 12502 14212 14399 14476 15181 16093 17578 19646 22372 22748 24871 25004 28798 30362 32186 35156 39083 39292 39809 49742 57596 60724 61523 64372 68761 78166 79618 96679 99484 106267 108053 123046 137522 156332 159236 166991 193358 212534 216106 246092 273581 275044 333982 386716 425068 432212 547162 667964 676753 756371 1094324 1168937 1353506 1512742 1836901 2337874 2707012 3025484 3673802 4675748 7347604 12858307 25716614 51433228