Search a number
-
+
40525144 = 231117103263
BaseRepresentation
bin1001101010010…
…1110101011000
32211020220001021
42122211311120
540333301034
64004332224
71001313052
oct232456530
984226037
1040525144
112096a160
12116a4074
13851b89a
14554c8d2
1538576b4
hex26a5d58

40525144 has 64 divisors (see below), whose sum is σ = 88957440. Its totient is φ = 17103360.

The previous prime is 40525109. The next prime is 40525181. The reversal of 40525144 is 44152504.

It is a happy number.

40525144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153957 + ... + 154219.

It is an arithmetic number, because the mean of its divisors is an integer number (1389960).

Almost surely, 240525144 is an apocalyptic number.

40525144 is a gapful number since it is divisible by the number (44) 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 40525144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44478720).

40525144 is an abundant number, since it is smaller than the sum of its proper divisors (48432296).

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

40525144 is a wasteful number, since it uses less digits than its factorization.

40525144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 40525144 is about 6365.9362233689. The cubic root of 40525144 is about 343.4853264462.

Adding to 40525144 its reverse (44152504), we get a palindrome (84677648).

The spelling of 40525144 in words is "forty million, five hundred twenty-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 103 136 187 206 263 374 412 526 748 824 1052 1133 1496 1751 2104 2266 2893 3502 4471 4532 5786 7004 8942 9064 11572 14008 17884 19261 23144 27089 35768 38522 49181 54178 77044 98362 108356 154088 196724 216712 297979 393448 460513 595958 921026 1191916 1842052 2383832 3684104 5065643 10131286 20262572 40525144