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5207008 = 252931181
BaseRepresentation
bin10011110111001111100000
3100210112200011
4103313033200
52313111013
6303334304
762154532
oct23671740
910715604
105207008
112a37114
1218b1394
131104091
14997852
156ccc3d
hex4f73e0

5207008 has 48 divisors (see below), whose sum is σ = 11007360. Its totient is φ = 2419200.

The previous prime is 5207003. The next prime is 5207009. The reversal of 5207008 is 8007025.

It is a super-2 number, since 2×52070082 = 54225864624128, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5207008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5207003) 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 7 ways as a sum of consecutive naturals, for example, 28678 + ... + 28858.

It is an arithmetic number, because the mean of its divisors is an integer number (229320).

Almost surely, 25207008 is an apocalyptic number.

5207008 is a gapful number since it is divisible by the number (58) 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 5207008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503680).

5207008 is an abundant number, since it is smaller than the sum of its proper divisors (5800352).

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

5207008 is a wasteful number, since it uses less digits than its factorization.

5207008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 5207008 is about 2281.8869384788. The cubic root of 5207008 is about 173.3256143834.

The spelling of 5207008 in words is "five million, two hundred seven thousand, eight".

Divisors: 1 2 4 8 16 29 31 32 58 62 116 124 181 232 248 362 464 496 724 899 928 992 1448 1798 2896 3596 5249 5611 5792 7192 10498 11222 14384 20996 22444 28768 41992 44888 83984 89776 162719 167968 179552 325438 650876 1301752 2603504 5207008