Search a number
-
+
51773436 = 2232111389113
BaseRepresentation
bin1100010101111…
…1111111111100
310121102100210200
43011133333330
5101223222221
65045403500
71166031651
oct305377774
9117370720
1051773436
1127252170
1215409590
13a959690
146c39c28
15482a426
hex315fffc

51773436 has 144 divisors (see below), whose sum is σ = 156854880. Its totient is φ = 14192640.

The previous prime is 51773431. The next prime is 51773443. The reversal of 51773436 is 63437715.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 51773436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51773431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 458116 + ... + 458228.

It is an arithmetic number, because the mean of its divisors is an integer number (1089270).

Almost surely, 251773436 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 51773436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78427440).

51773436 is an abundant number, since it is smaller than the sum of its proper divisors (105081444).

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

51773436 is a wasteful number, since it uses less digits than its factorization.

51773436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 231 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 51773436 is about 7195.3760151920. The cubic root of 51773436 is about 372.7082414453.

The spelling of 51773436 in words is "fifty-one million, seven hundred seventy-three thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 89 99 113 117 132 143 156 178 198 226 234 267 286 339 356 396 429 452 468 534 572 678 801 858 979 1017 1068 1157 1243 1287 1356 1469 1602 1716 1958 2034 2314 2486 2574 2937 2938 3204 3471 3729 3916 4068 4407 4628 4972 5148 5874 5876 6942 7458 8811 8814 10057 10413 11187 11748 12727 13221 13884 14916 16159 17622 17628 20114 20826 22374 25454 26442 30171 32318 35244 38181 40228 41652 44748 48477 50908 52884 60342 64636 76362 90513 96954 110627 114543 120684 130741 145431 152724 181026 193908 221254 229086 261482 290862 331881 362052 392223 442508 458172 522964 581724 663762 784446 995643 1176669 1327524 1438151 1568892 1991286 2353338 2876302 3982572 4314453 4706676 5752604 8628906 12943359 17257812 25886718 51773436