Search a number
-
+
52227688272 = 2432997613631
BaseRepresentation
bin110000101001000000…
…110100011101010000
311222210211121110102220
4300221000310131100
51323430242011042
635554300341040
73526152011514
oct605100643520
9158724543386
1052227688272
1120171194241
12a156b44780
134c04447076
142756538144
15155a2308ec
hexc29034750

52227688272 has 160 divisors (see below), whose sum is σ = 141466778880. Its totient is φ = 16582164480.

The previous prime is 52227688259. The next prime is 52227688283. The reversal of 52227688272 is 27288672225.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82769397 + ... + 82770027.

It is an arithmetic number, because the mean of its divisors is an integer number (884167368).

Almost surely, 252227688272 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 52227688272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70733389440).

52227688272 is an abundant number, since it is smaller than the sum of its proper divisors (89239090608).

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

52227688272 is a wasteful number, since it uses less digits than its factorization.

52227688272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1375 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 51.

The spelling of 52227688272 in words is "fifty-two billion, two hundred twenty-seven million, six hundred eighty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 97 116 174 194 232 291 348 388 464 582 613 631 696 776 1164 1226 1262 1392 1552 1839 1893 2328 2452 2524 2813 3678 3786 4656 4904 5048 5626 7356 7572 8439 9808 10096 11252 14712 15144 16878 17777 18299 22504 29424 30288 33756 35554 36598 45008 53331 54897 59461 61207 67512 71108 73196 106662 109794 118922 122414 135024 142216 146392 178383 183621 213324 219588 237844 244828 284432 292784 356766 367242 386803 426648 439176 475688 489656 713532 734484 773606 853296 878352 951376 979312 1160409 1427064 1468968 1547212 1724369 1775003 2320818 2854128 2937936 3094424 3448738 3550006 4641636 5173107 5325009 6188848 6897476 7100012 9283272 10346214 10650018 11217287 13794952 14200024 18566544 20692428 21300036 22434574 27589904 28400048 33651861 37519891 41384856 42600072 44869148 67303722 75039782 82769712 85200144 89738296 112559673 134607444 150079564 179476592 225119346 269214888 300159128 450238692 538429776 600318256 900477384 1088076839 1800954768 2176153678 3264230517 4352307356 6528461034 8704614712 13056922068 17409229424 26113844136 52227688272