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10495008 = 25344049
BaseRepresentation
bin101000000010…
…010000100000
3201202012110000
4220002100200
510141320013
61012540000
7155130456
oct50022040
921665400
1010495008
115a19067
123621600
132235c84
1415729d6
15dc4973
hexa02420

10495008 has 60 divisors (see below), whose sum is σ = 30873150. Its totient is φ = 3497472.

The previous prime is 10495003. The next prime is 10495027. The reversal of 10495008 is 80059401.

It can be written as a sum of positive squares in only one way, i.e., 9809424 + 685584 = 3132^2 + 828^2 .

It is a super-2 number, since 2×104950082 = 220290385840128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10495003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 568 + ... + 4616.

Almost surely, 210495008 is an apocalyptic number.

10495008 is a gapful number since it is divisible by the number (18) 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 10495008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15436575).

10495008 is an abundant number, since it is smaller than the sum of its proper divisors (20378142).

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

10495008 is an equidigital number, since it uses as much as digits as its factorization.

10495008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4071 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10495008 is about 3239.5999753056. The cubic root of 10495008 is about 218.9412490180.

The spelling of 10495008 in words is "ten million, four hundred ninety-five thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 4049 8098 12147 16196 24294 32392 36441 48588 64784 72882 97176 109323 129568 145764 194352 218646 291528 327969 388704 437292 583056 655938 874584 1166112 1311876 1749168 2623752 3498336 5247504 10495008