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5028480 = 2734597
BaseRepresentation
bin10011001011101010000000
3100110110210000
4103023222000
52241402410
6255440000
760512202
oct23135200
910413700
105028480
112924a76
121826000
131070a42
1494c772
15694dc0
hex4cba80

5028480 has 160 divisors (see below), whose sum is σ = 18142740. Its totient is φ = 1327104.

The previous prime is 5028473. The next prime is 5028509. The reversal of 5028480 is 848205.

5028480 is a `hidden beast` number, since 502 + 84 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4981824 + 46656 = 2232^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×50284802 = 50571222220800, which contains 22 as substring.

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

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51792 + ... + 51888.

Almost surely, 25028480 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 5028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9071370).

5028480 is an abundant number, since it is smaller than the sum of its proper divisors (13114260).

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

5028480 is an equidigital number, since it uses as much as digits as its factorization.

5028480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

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

The square root of 5028480 is about 2242.4272563452. The cubic root of 5028480 is about 171.3216476088.

The spelling of 5028480 in words is "five million, twenty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 97 108 120 128 135 144 160 162 180 192 194 216 240 270 288 291 320 324 360 384 388 405 432 480 485 540 576 582 640 648 720 776 810 864 873 960 970 1080 1152 1164 1296 1440 1455 1552 1620 1728 1746 1920 1940 2160 2328 2592 2619 2880 2910 3104 3240 3456 3492 3880 4320 4365 4656 5184 5238 5760 5820 6208 6480 6984 7760 7857 8640 8730 9312 10368 10476 11640 12416 12960 13095 13968 15520 15714 17280 17460 18624 20952 23280 25920 26190 27936 31040 31428 34920 37248 39285 41904 46560 51840 52380 55872 62080 62856 69840 78570 83808 93120 104760 111744 125712 139680 157140 167616 186240 209520 251424 279360 314280 335232 419040 502848 558720 628560 838080 1005696 1257120 1676160 2514240 5028480