Search a number
-
+
52878518328 = 23319377394241
BaseRepresentation
bin110001001111110011…
…100010100000111000
312001111012021001102210
4301033303202200320
51331243400041303
640143030055120
73551243663316
oct611763424070
9161435231383
1052878518328
11204755aa519
12a2b8aaa4a0
134ca922bacc
1427b8b530b6
15159743e203
hexc4fce2838

52878518328 has 128 divisors (see below), whose sum is σ = 143142048000. Its totient is φ = 16221358080.

The previous prime is 52878518327. The next prime is 52878518351. The reversal of 52878518328 is 82381587825.

It is a super-2 number, since 2×528785183282 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52878518321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12466288 + ... + 12470528.

It is an arithmetic number, because the mean of its divisors is an integer number (1118297250).

Almost surely, 252878518328 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 52878518328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71571024000).

52878518328 is an abundant number, since it is smaller than the sum of its proper divisors (90263529672).

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

52878518328 is a wasteful number, since it uses less digits than its factorization.

52878518328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5045 (or 5041 counting only the distinct ones).

The product of its digits is 8601600, while the sum is 57.

The spelling of 52878518328 in words is "fifty-two billion, eight hundred seventy-eight million, five hundred eighteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 37 38 57 74 76 111 114 148 152 222 228 296 444 456 703 739 888 1406 1478 2109 2217 2812 2956 4218 4241 4434 5624 5912 8436 8482 8868 12723 14041 16872 16964 17736 25446 27343 28082 33928 42123 50892 54686 56164 80579 82029 84246 101784 109372 112328 156917 161158 164058 168492 218744 241737 313834 322316 328116 336984 470751 483474 519517 627668 644632 656232 941502 966948 1039034 1255336 1558551 1883004 1933896 2078068 2981423 3117102 3134099 3766008 4156136 5962846 6234204 6268198 8944269 9402297 11925692 12468408 12536396 17888538 18804594 23851384 25072792 35777076 37609188 59547881 71554152 75218376 115961663 119095762 178643643 231923326 238191524 347884989 357287286 463846652 476383048 695769978 714574572 927693304 1391539956 1429149144 2203271597 2783079912 4406543194 6609814791 8813086388 13219629582 17626172776 26439259164 52878518328