Search a number
-
+
5486208 = 273713157
BaseRepresentation
bin10100111011011010000000
3101022201122220
4110323122000
52401024313
6313331040
764426530
oct24733200
911281586
105486208
113107962
121a06a80
1311a11a0
14a2b4c0
15735823
hex53b680

5486208 has 128 divisors (see below), whose sum is σ = 18049920. Its totient is φ = 1437696.

The previous prime is 5486207. The next prime is 5486209. The reversal of 5486208 is 8026845.

5486208 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5486207) and next prime (5486209).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (5486203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34866 + ... + 35022.

It is an arithmetic number, because the mean of its divisors is an integer number (141015).

Almost surely, 25486208 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 5486208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9024960).

5486208 is an abundant number, since it is smaller than the sum of its proper divisors (12563712).

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

5486208 is a wasteful number, since it uses less digits than its factorization.

5486208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 5486208 is about 2342.2655699130. The cubic root of 5486208 is about 176.3697460983.

It can be divided in two parts, 548620 and 8, that added together give a triangular number (548628 = T1047).

The spelling of 5486208 in words is "five million, four hundred eighty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 157 168 182 192 208 224 273 312 314 336 364 384 416 448 471 546 624 628 672 728 832 896 942 1092 1099 1248 1256 1344 1456 1664 1884 2041 2184 2198 2496 2512 2688 2912 3297 3768 4082 4368 4396 4992 5024 5824 6123 6594 7536 8164 8736 8792 10048 11648 12246 13188 14287 15072 16328 17472 17584 20096 24492 26376 28574 30144 32656 34944 35168 42861 48984 52752 57148 60288 65312 70336 85722 97968 105504 114296 130624 140672 171444 195936 211008 228592 261248 342888 391872 422016 457184 685776 783744 914368 1371552 1828736 2743104 5486208