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5038848 = 2839
BaseRepresentation
bin10011001110001100000000
3100111000000000
4103032030000
52242220343
6300000000
760554343
oct23161400
910430000
105038848
112931841
121830000
131075689
1495245a
15697ed3
hex4ce300

5038848 has 90 divisors (see below), whose sum is σ = 15086764. Its totient is φ = 1679616.

The previous prime is 5038841. The next prime is 5038849. The reversal of 5038848 is 8488305.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (5038841) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1679615 + 1679616 + 1679617.

Almost surely, 25038848 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 5038848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7543382).

5038848 is an abundant number, since it is smaller than the sum of its proper divisors (10047916).

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

5038848 is an frugal number, since it uses more digits than its factorization.

5038848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 5038848 is about 2244.7378466093. The cubic root of 5038848 is about 171.4393136126.

It can be divided in two parts, 5038 and 848, that added together give a triangular number (5886 = T108).

The spelling of 5038848 in words is "five million, thirty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 729 768 864 972 1152 1296 1458 1728 1944 2187 2304 2592 2916 3456 3888 4374 5184 5832 6561 6912 7776 8748 10368 11664 13122 15552 17496 19683 20736 23328 26244 31104 34992 39366 46656 52488 62208 69984 78732 93312 104976 139968 157464 186624 209952 279936 314928 419904 559872 629856 839808 1259712 1679616 2519424 5038848