Search a number
-
+
528161536 = 287536783
BaseRepresentation
bin11111011110110…
…001101100000000
31100210211101102101
4133132301230000
52040202132121
6124224200144
716042204360
oct3736615400
91323741371
10528161536
11251151641
12128a69054
1385565326
14502069a0
153157c491
hex1f7b1b00

528161536 has 144 divisors (see below), whose sum is σ = 1260935424. Its totient is φ = 216133632.

The previous prime is 528161527. The next prime is 528161551. The reversal of 528161536 is 635161825.

It is a junction number, because it is equal to n+sod(n) for n = 528161495 and 528161504.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6363351 + ... + 6363433.

It is an arithmetic number, because the mean of its divisors is an integer number (8756496).

Almost surely, 2528161536 is an apocalyptic number.

528161536 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 528161536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630467712).

528161536 is an abundant number, since it is smaller than the sum of its proper divisors (732773888).

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

528161536 is an equidigital number, since it uses as much as digits as its factorization.

528161536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 212 counting only the distinct ones).

The product of its digits is 43200, while the sum is 37.

The square root of 528161536 is about 22981.7652933799. The cubic root of 528161536 is about 808.3304206884.

The spelling of 528161536 in words is "five hundred twenty-eight million, one hundred sixty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 67 83 106 112 128 134 166 212 224 256 268 332 371 424 448 469 536 581 664 742 848 896 938 1072 1162 1328 1484 1696 1792 1876 2144 2324 2656 2968 3392 3551 3752 4288 4399 4648 5312 5561 5936 6784 7102 7504 8576 8798 9296 10624 11122 11872 13568 14204 15008 17152 17596 18592 21248 22244 23744 24857 28408 30016 30793 35192 37184 38927 44488 47488 49714 56816 60032 61586 70384 74368 77854 88976 94976 99428 113632 120064 123172 140768 148736 155708 177952 198856 227264 246344 281536 294733 311416 355904 397712 454528 492688 563072 589466 622832 711808 795424 909056 985376 1126144 1178932 1245664 1423616 1590848 1970752 2063131 2357864 2491328 3181696 3941504 4126262 4715728 4982656 6363392 7883008 8252524 9431456 9965312 16505048 18862912 33010096 37725824 66020192 75451648 132040384 264080768 528161536