Search a number
-
+
520962228 = 2232531371993
BaseRepresentation
bin11111000011010…
…100000010110100
31100022021121211100
4133003110002310
52031331242403
6123410010100
715624051213
oct3703240264
91308247740
10520962228
112480846a6
12126576930
1383c14497
144d29107a
1530b092a3
hex1f0d40b4

520962228 has 72 divisors (see below), whose sum is σ = 1352195208. Its totient is φ = 169049088.

The previous prime is 520962227. The next prime is 520962269. The reversal of 520962228 is 822269025.

520962228 is a `hidden beast` number, since 5 + 2 + 0 + 9 + 622 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 201696804 + 319265424 = 14202^2 + 17868^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 520962192 and 520962201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520962227) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 260400 + ... + 262392.

It is an arithmetic number, because the mean of its divisors is an integer number (18780489).

Almost surely, 2520962228 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 520962228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676097604).

520962228 is an abundant number, since it is smaller than the sum of its proper divisors (831232980).

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

520962228 is a wasteful number, since it uses less digits than its factorization.

520962228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 520962228 is about 22824.5969953469. The cubic root of 520962228 is about 804.6408531276.

The spelling of 520962228 in words is "five hundred twenty million, nine hundred sixty-two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 137 159 212 274 318 411 477 548 636 822 954 1233 1644 1908 1993 2466 3986 4932 5979 7261 7972 11958 14522 17937 21783 23916 29044 35874 43566 65349 71748 87132 105629 130698 211258 261396 273041 316887 422516 546082 633774 819123 950661 1092164 1267548 1638246 1901322 2457369 3276492 3802644 4914738 9829476 14471173 28942346 43413519 57884692 86827038 130240557 173654076 260481114 520962228