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5028840 = 2332561229
BaseRepresentation
bin10011001011101111101000
3100110111021100
4103023233220
52241410330
6255441400
760513225
oct23135750
910414240
105028840
112925273
121826260
131070c5b
1494c94c
15695060
hex4cbbe8

5028840 has 96 divisors (see below), whose sum is σ = 16684200. Its totient is φ = 1313280.

The previous prime is 5028827. The next prime is 5028841. The reversal of 5028840 is 488205.

5028840 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3849444 + 1179396 = 1962^2 + 1086^2 .

It is not an unprimeable number, because it can be changed into a prime (5028841) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 21846 + ... + 22074.

Almost surely, 25028840 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 5028840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8342100).

5028840 is an abundant number, since it is smaller than the sum of its proper divisors (11655360).

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

5028840 is a wasteful number, since it uses less digits than its factorization.

5028840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 300 counting only the distinct ones).

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

The square root of 5028840 is about 2242.5075250710. The cubic root of 5028840 is about 171.3257359431.

The spelling of 5028840 in words is "five million, twenty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 61 72 90 120 122 180 183 229 244 305 360 366 458 488 549 610 687 732 915 916 1098 1145 1220 1374 1464 1830 1832 2061 2196 2290 2440 2745 2748 3435 3660 4122 4392 4580 5490 5496 6870 7320 8244 9160 10305 10980 13740 13969 16488 20610 21960 27480 27938 41220 41907 55876 69845 82440 83814 111752 125721 139690 167628 209535 251442 279380 335256 419070 502884 558760 628605 838140 1005768 1257210 1676280 2514420 5028840