[go: up one dir, main page]

Search a number
-
+
5408208 = 243513107
BaseRepresentation
bin10100101000010111010000
3101011202200000
4110220113100
52341030313
6311530000
763653241
oct24502720
911152600
105408208
1130642a3
121989900
131174830
14a0acc8
1571c673
hex5285d0

5408208 has 120 divisors (see below), whose sum is σ = 17061408. Its totient is φ = 1648512.

The previous prime is 5408201. The next prime is 5408213. The reversal of 5408208 is 8028045.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5408201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50491 + ... + 50597.

Almost surely, 25408208 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 5408208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8530704).

5408208 is an abundant number, since it is smaller than the sum of its proper divisors (11653200).

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

5408208 is a wasteful number, since it uses less digits than its factorization.

5408208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 125 counting only the distinct ones).

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

The square root of 5408208 is about 2325.5554175293. Note that the first 3 decimals coincide. The cubic root of 5408208 is about 175.5299094323.

It can be divided in two parts, 5408 and 208, that multiplied together give a cube (1124864 = 1043).

The spelling of 5408208 in words is "five million, four hundred eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 107 108 117 144 156 162 208 214 216 234 243 312 321 324 351 428 432 468 486 624 642 648 702 856 936 963 972 1053 1284 1296 1391 1404 1712 1872 1926 1944 2106 2568 2782 2808 2889 3159 3852 3888 4173 4212 5136 5564 5616 5778 6318 7704 8346 8424 8667 11128 11556 12519 12636 15408 16692 16848 17334 22256 23112 25038 25272 26001 33384 34668 37557 46224 50076 50544 52002 66768 69336 75114 100152 104004 112671 138672 150228 200304 208008 225342 300456 338013 416016 450684 600912 676026 901368 1352052 1802736 2704104 5408208