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906628752 = 24326296033
BaseRepresentation
bin110110000010100…
…000111010010000
32100011222111211200
4312002200322100
53324044110002
6225544111200
731316134341
oct6602407220
92304874750
10906628752
1142584a667
12213765500
13115aa7923
14885a40c8
15548dab1c
hex360a0e90

906628752 has 30 divisors (see below), whose sum is σ = 2537301702. Its totient is φ = 302209536.

The previous prime is 906628747. The next prime is 906628771. The reversal of 906628752 is 257826609.

It can be written as a sum of positive squares in only one way, i.e., 845413776 + 61214976 = 29076^2 + 7824^2 .

It is a junction number, because it is equal to n+sod(n) for n = 906628698 and 906628707.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 3147873 + ... + 3148160.

Almost surely, 2906628752 is an apocalyptic number.

It is an amenable number.

906628752 is an abundant number, since it is smaller than the sum of its proper divisors (1630672950).

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

906628752 is a wasteful number, since it uses less digits than its factorization.

906628752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6296047 (or 6296038 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 906628752 is about 30110.2765181590. The cubic root of 906628752 is about 967.8539553820.

The spelling of 906628752 in words is "nine hundred six million, six hundred twenty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 6296033 12592066 18888099 25184132 37776198 50368264 56664297 75552396 100736528 113328594 151104792 226657188 302209584 453314376 906628752