Search a number
-
+
5127408 = 2433111383
BaseRepresentation
bin10011100011110011110000
3100122111111000
4103203303300
52303034113
6301522000
761403466
oct23436360
910574430
105127408
112992330
121873300
1310a6a90
14976836
156b4373
hex4e3cf0

5127408 has 160 divisors (see below), whose sum is σ = 17498880. Its totient is φ = 1416960.

The previous prime is 5127347. The next prime is 5127427. The reversal of 5127408 is 8047215.

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 31 ways as a sum of consecutive naturals, for example, 61735 + ... + 61817.

It is an arithmetic number, because the mean of its divisors is an integer number (109368).

Almost surely, 25127408 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 5127408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8749440).

5127408 is an abundant number, since it is smaller than the sum of its proper divisors (12371472).

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

5127408 is a wasteful number, since it uses less digits than its factorization.

5127408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 5127408 is about 2264.3780603071. The cubic root of 5127408 is about 172.4378604159.

The spelling of 5127408 in words is "five million, one hundred twenty-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 33 36 39 44 48 52 54 66 72 78 83 88 99 104 108 117 132 143 144 156 166 176 198 208 216 234 249 264 286 297 312 332 351 396 429 432 468 498 528 572 594 624 664 702 747 792 858 913 936 996 1079 1144 1188 1287 1328 1404 1494 1584 1716 1826 1872 1992 2158 2241 2288 2376 2574 2739 2808 2988 3237 3432 3652 3861 3984 4316 4482 4752 5148 5478 5616 5976 6474 6864 7304 7722 8217 8632 8964 9711 10296 10956 11869 11952 12948 14608 15444 16434 17264 17928 19422 20592 21912 23738 24651 25896 29133 30888 32868 35607 35856 38844 43824 47476 49302 51792 58266 61776 65736 71214 77688 94952 98604 106821 116532 131472 142428 155376 189904 197208 213642 233064 284856 320463 394416 427284 466128 569712 640926 854568 1281852 1709136 2563704 5127408