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5035248 = 243273479
BaseRepresentation
bin10011001101010011110000
3100110211001200
4103031103300
52242111443
6255531200
760541011
oct23152360
910424050
105035248
11292a069
121829b00
131073b4a
14951008
15696dd3
hex4cd4f0

5035248 has 60 divisors (see below), whose sum is σ = 14314560. Its totient is φ = 1651968.

The previous prime is 5035243. The next prime is 5035253. The reversal of 5035248 is 8425305.

It is an interprime number because it is at equal distance from previous prime (5035243) and next prime (5035253).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5035243) 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 11 ways as a sum of consecutive naturals, for example, 10273 + ... + 10751.

It is an arithmetic number, because the mean of its divisors is an integer number (238576).

Almost surely, 25035248 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 5035248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7157280).

5035248 is an abundant number, since it is smaller than the sum of its proper divisors (9279312).

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

5035248 is a wasteful number, since it uses less digits than its factorization.

5035248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5035248 is about 2243.9358279594. The cubic root of 5035248 is about 171.3984756691.

The spelling of 5035248 in words is "five million, thirty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 479 584 657 876 958 1168 1314 1437 1752 1916 2628 2874 3504 3832 4311 5256 5748 7664 8622 10512 11496 17244 22992 34488 34967 68976 69934 104901 139868 209802 279736 314703 419604 559472 629406 839208 1258812 1678416 2517624 5035248