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5087808 = 263211273
BaseRepresentation
bin10011011010001001000000
3100120111011100
4103122021000
52300302213
6301014400
761150155
oct23321100
910514140
105087808
112965600
121854400
131091a4b
1496622c
156a7773
hex4da240

5087808 has 126 divisors (see below), whose sum is σ = 16249142. Its totient is φ = 1520640.

The previous prime is 5087791. The next prime is 5087809. The reversal of 5087808 is 8087805.

It can be written as a sum of positive squares in only one way, i.e., 4460544 + 627264 = 2112^2 + 792^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5087809) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 69660 + ... + 69732.

Almost surely, 25087808 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 5087808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8124571).

5087808 is an abundant number, since it is smaller than the sum of its proper divisors (11161334).

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

5087808 is a wasteful number, since it uses less digits than its factorization.

5087808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 5087808 is about 2255.6169887638. The cubic root of 5087808 is about 171.9927885926.

The spelling of 5087808 in words is "five million, eighty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 73 88 96 99 121 132 144 146 176 192 198 219 242 264 288 292 352 363 396 438 484 528 576 584 657 704 726 792 803 876 968 1056 1089 1168 1314 1452 1584 1606 1752 1936 2112 2178 2336 2409 2628 2904 3168 3212 3504 3872 4356 4672 4818 5256 5808 6336 6424 7008 7227 7744 8712 8833 9636 10512 11616 12848 14016 14454 17424 17666 19272 21024 23232 25696 26499 28908 34848 35332 38544 42048 51392 52998 57816 69696 70664 77088 79497 105996 115632 141328 154176 158994 211992 231264 282656 317988 423984 462528 565312 635976 847968 1271952 1695936 2543904 5087808