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8628949 = 72229769
BaseRepresentation
bin100000111010…
…101011010101
3121020101200201
4200322223111
54202111244
6504540501
7133226200
oct40725325
917211621
108628949
11496406a
122a81731
131a317b4
141208937
15b56ad4
hex83aad5

8628949 has 12 divisors (see below), whose sum is σ = 10094700. Its totient is φ = 7354368.

The previous prime is 8628937. The next prime is 8628967. The reversal of 8628949 is 9498268.

8628949 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6036849 + 2592100 = 2457^2 + 1610^2 .

It is not a de Polignac number, because 8628949 - 211 = 8626901 is a prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 8628899 and 8628908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8628049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10837 + ... + 11605.

It is an arithmetic number, because the mean of its divisors is an integer number (841225).

Almost surely, 28628949 is an apocalyptic number.

It is an amenable number.

8628949 is a deficient number, since it is larger than the sum of its proper divisors (1465751).

8628949 is a wasteful number, since it uses less digits than its factorization.

8628949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 1005 counting only the distinct ones).

The product of its digits is 248832, while the sum is 46.

The square root of 8628949 is about 2937.5072765867. The cubic root of 8628949 is about 205.1095904223.

The spelling of 8628949 in words is "eight million, six hundred twenty-eight thousand, nine hundred forty-nine".

Divisors: 1 7 49 229 769 1603 5383 11221 37681 176101 1232707 8628949