Search a number
-
+
2485728 = 25347137
BaseRepresentation
bin1001011110110111100000
311200021210000
421132313200
51114020403
6125140000
730062010
oct11366740
94607700
102485728
111448623
129ba600
1369055b
14489c40
153417a3
hex25ede0

2485728 has 120 divisors (see below), whose sum is σ = 8415792. Its totient is φ = 705024.

The previous prime is 2485727. The next prime is 2485733. The reversal of 2485728 is 8275842.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2485692 and 2485701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2485727) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18076 + ... + 18212.

22485728 is an apocalyptic number.

2485728 is a gapful number since it is divisible by the number (28) 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 2485728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4207896).

2485728 is an abundant number, since it is smaller than the sum of its proper divisors (5930064).

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

2485728 is a wasteful number, since it uses less digits than its factorization.

2485728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 149 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 2485728 is about 1576.6191677130. The cubic root of 2485728 is about 135.4621200105.

The spelling of 2485728 in words is "two million, four hundred eighty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 137 144 162 168 189 216 224 252 274 288 324 336 378 411 432 504 548 567 648 672 756 822 864 959 1008 1096 1134 1233 1296 1512 1644 1918 2016 2192 2268 2466 2592 2877 3024 3288 3699 3836 4384 4536 4932 5754 6048 6576 7398 7672 8631 9072 9864 11097 11508 13152 14796 15344 17262 18144 19728 22194 23016 25893 29592 30688 34524 39456 44388 46032 51786 59184 69048 77679 88776 92064 103572 118368 138096 155358 177552 207144 276192 310716 355104 414288 621432 828576 1242864 2485728