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5008257 = 33185491
BaseRepresentation
bin10011000110101110000001
3100102110001000
4103012232001
52240231012
6255202213
760366222
oct23065601
910373030
105008257
112910861
121816369
131064787
14945249
1568dddc
hex4c6b81

5008257 has 8 divisors (see below), whose sum is σ = 7419680. Its totient is φ = 3338820.

The previous prime is 5008231. The next prime is 5008259. The reversal of 5008257 is 7528005.

It is a happy number.

It is not a de Polignac number, because 5008257 - 26 = 5008193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 185491 = 5008257 / (5 + 0 + 0 + 8 + 2 + 5 + 7).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5008257.

It is not an unprimeable number, because it can be changed into a prime (5008259) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92719 + ... + 92772.

It is an arithmetic number, because the mean of its divisors is an integer number (927460).

Almost surely, 25008257 is an apocalyptic number.

It is an amenable number.

5008257 is a deficient number, since it is larger than the sum of its proper divisors (2411423).

5008257 is a wasteful number, since it uses less digits than its factorization.

5008257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185500 (or 185494 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 5008257 is about 2237.9135372038. The cubic root of 5008257 is about 171.0916713765.

The spelling of 5008257 in words is "five million, eight thousand, two hundred fifty-seven".

Divisors: 1 3 9 27 185491 556473 1669419 5008257