Search a number
-
+
51207552 = 273411449
BaseRepresentation
bin1100001101010…
…1110110000000
310120100121120000
43003111312000
5101102120202
65025320000
71161154104
oct303256600
9116317500
1051207552
11269a5aa0
1215196000
13a7bbc36
146b2d904
15476791c
hex30d5d80

51207552 has 160 divisors (see below), whose sum is σ = 166617000. Its totient is φ = 15482880.

The previous prime is 51207551. The next prime is 51207601. The reversal of 51207552 is 25570215.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51207551) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 113824 + ... + 114272.

Almost surely, 251207552 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 51207552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83308500).

51207552 is an abundant number, since it is smaller than the sum of its proper divisors (115409448).

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

51207552 is a wasteful number, since it uses less digits than its factorization.

51207552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 51207552 is about 7155.9452205841. The cubic root of 51207552 is about 371.3453627075.

Adding to 51207552 its reverse (25570215), we get a palindrome (76777767).

The spelling of 51207552 in words is "fifty-one million, two hundred seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 128 132 144 162 176 192 198 216 264 288 297 324 352 384 396 432 449 528 576 594 648 704 792 864 891 898 1056 1152 1188 1296 1347 1408 1584 1728 1782 1796 2112 2376 2592 2694 3168 3456 3564 3592 4041 4224 4752 4939 5184 5388 6336 7128 7184 8082 9504 9878 10368 10776 12123 12672 14256 14368 14817 16164 19008 19756 21552 24246 28512 28736 29634 32328 36369 38016 39512 43104 44451 48492 57024 57472 59268 64656 72738 79024 86208 88902 96984 114048 118536 129312 133353 145476 158048 172416 177804 193968 237072 258624 266706 290952 316096 355608 387936 400059 474144 517248 533412 581904 632192 711216 775872 800118 948288 1066824 1163808 1422432 1551744 1600236 1896576 2133648 2327616 2844864 3200472 4267296 4655232 5689728 6400944 8534592 12801888 17069184 25603776 51207552