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5005008 = 243234757
BaseRepresentation
bin10011000101111011010000
3100102021120200
4103011323100
52240130013
6255135200
760353601
oct23057320
910367520
105005008
112909378
121814500
131063158
14943da8
1568ce73
hex4c5ed0

5005008 has 30 divisors (see below), whose sum is σ = 14007474. Its totient is φ = 1668288.

The previous prime is 5005001. The next prime is 5005031. The reversal of 5005008 is 8005005.

It can be written as a sum of positive squares in only one way, i.e., 3732624 + 1272384 = 1932^2 + 1128^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005001) by changing a digit.

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, 17235 + ... + 17522.

Almost surely, 25005008 is an apocalyptic number.

It is an amenable number.

5005008 is an abundant number, since it is smaller than the sum of its proper divisors (9002466).

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

5005008 is a wasteful number, since it uses less digits than its factorization.

5005008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34771 (or 34762 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 5005008 is about 2237.1875200796. The cubic root of 5005008 is about 171.0546660146.

The spelling of 5005008 in words is "five million, five thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 34757 69514 104271 139028 208542 278056 312813 417084 556112 625626 834168 1251252 1668336 2502504 5005008