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5085504 = 2636109
BaseRepresentation
bin10011011001100101000000
3100120101000000
4103121211000
52300214004
6301000000
761140354
oct23314500
910511000
105085504
1129638a6
121853000
131090998
14965464
156a6c39
hex4d9940

5085504 has 98 divisors (see below), whose sum is σ = 15269210. Its totient is φ = 1679616.

The previous prime is 5085497. The next prime is 5085523. The reversal of 5085504 is 4055805.

It can be written as a sum of positive squares in only one way, i.e., 4665600 + 419904 = 2160^2 + 648^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 46602 + ... + 46710.

Almost surely, 25085504 is an apocalyptic number.

5085504 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5085504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7634605).

5085504 is an abundant number, since it is smaller than the sum of its proper divisors (10183706).

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

5085504 is an equidigital number, since it uses as much as digits as its factorization.

5085504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 5085504 is about 2255.1062059247. The cubic root of 5085504 is about 171.9668225173.

The spelling of 5085504 in words is "five million, eighty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 109 144 162 192 216 218 243 288 324 327 432 436 486 576 648 654 729 864 872 972 981 1296 1308 1458 1728 1744 1944 1962 2592 2616 2916 2943 3488 3888 3924 5184 5232 5832 5886 6976 7776 7848 8829 10464 11664 11772 15552 15696 17658 20928 23328 23544 26487 31392 35316 46656 47088 52974 62784 70632 79461 94176 105948 141264 158922 188352 211896 282528 317844 423792 565056 635688 847584 1271376 1695168 2542752 5085504