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5005050 = 235261547
BaseRepresentation
bin10011000101111011111010
3100102021122020
4103011323322
52240130200
6255135310
760353661
oct23057372
910367566
105005050
112909406
121814536
13106318b
14943dd8
1568cea0
hex4c5efa

5005050 has 48 divisors (see below), whose sum is σ = 12639072. Its totient is φ = 1310400.

The previous prime is 5005031. The next prime is 5005057. The reversal of 5005050 is 505005.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

5005050 is a modest number, since divided by 5050 gives 500 as remainder.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5005057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8877 + ... + 9423.

It is an arithmetic number, because the mean of its divisors is an integer number (263314).

Almost surely, 25005050 is an apocalyptic number.

5005050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5005050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6319536).

5005050 is an abundant number, since it is smaller than the sum of its proper divisors (7634022).

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

5005050 is a wasteful number, since it uses less digits than its factorization.

5005050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 15.

The square root of 5005050 is about 2237.1969068457. The cubic root of 5005050 is about 171.0551444871.

The spelling of 5005050 in words is "five million, five thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 61 75 122 150 183 305 366 547 610 915 1094 1525 1641 1830 2735 3050 3282 4575 5470 8205 9150 13675 16410 27350 33367 41025 66734 82050 100101 166835 200202 333670 500505 834175 1001010 1668350 2502525 5005050