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5042128 = 247133463
BaseRepresentation
bin10011001110111111010000
3100111011111111
4103032333100
52242322003
6300023104
760600040
oct23167720
910434444
105042128
112934253
121831a94
131077010
14953720
15698e6d
hex4cefd0

5042128 has 40 divisors (see below), whose sum is σ = 12027008. Its totient is φ = 1994112.

The previous prime is 5042111. The next prime is 5042131. The reversal of 5042128 is 8212405.

It is a junction number, because it is equal to n+sod(n) for n = 5042099 and 5042108.

It is a congruent number.

It is an unprimeable number.

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, 276 + ... + 3187.

Almost surely, 25042128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5042128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6013504).

5042128 is an abundant number, since it is smaller than the sum of its proper divisors (6984880).

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

5042128 is a wasteful number, since it uses less digits than its factorization.

5042128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3491 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 5042128 is about 2245.4683253166. The cubic root of 5042128 is about 171.4765045856.

The spelling of 5042128 in words is "five million, forty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 3463 6926 13852 24241 27704 45019 48482 55408 90038 96964 180076 193928 315133 360152 387856 630266 720304 1260532 2521064 5042128