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5004288 = 21033181
BaseRepresentation
bin10011000101110000000000
3100102020121000
4103011300000
52240114123
6255132000
760351522
oct23056000
910366530
105004288
112908883
121814000
131062a23
14943a12
1568cb43
hex4c5c00

5004288 has 88 divisors (see below), whose sum is σ = 14902160. Its totient is φ = 1658880.

The previous prime is 5004281. The next prime is 5004323. The reversal of 5004288 is 8824005.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5004281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27558 + ... + 27738.

Almost surely, 25004288 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 5004288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7451080).

5004288 is an abundant number, since it is smaller than the sum of its proper divisors (9897872).

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

5004288 is a wasteful number, since it uses less digits than its factorization.

5004288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 5004288 is about 2237.0265979644. The cubic root of 5004288 is about 171.0464632128.

The spelling of 5004288 in words is "five million, four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 181 192 216 256 288 362 384 432 512 543 576 724 768 864 1024 1086 1152 1448 1536 1629 1728 2172 2304 2896 3072 3258 3456 4344 4608 4887 5792 6516 6912 8688 9216 9774 11584 13032 13824 17376 19548 23168 26064 27648 34752 39096 46336 52128 69504 78192 92672 104256 139008 156384 185344 208512 278016 312768 417024 556032 625536 834048 1251072 1668096 2502144 5004288