Search a number
-
+
45253440 = 2632519827
BaseRepresentation
bin1010110010100…
…0001101000000
310011011010001100
42230220031000
543041102230
64253534400
71056435141
oct254501500
9104133040
1045253440
11235a9641
12131a4400
1394b5aab
14601dac8
153e8d660
hex2b28340

45253440 has 168 divisors, whose sum is σ = 164043360. Its totient is φ = 11418624.

The previous prime is 45253387. The next prime is 45253441. The reversal of 45253440 is 4435254.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45253441) 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, 54307 + ... + 55133.

Almost surely, 245253440 is an apocalyptic number.

45253440 is a gapful number since it is divisible by the number (40) 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 45253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82021680).

45253440 is an abundant number, since it is smaller than the sum of its proper divisors (118789920).

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

45253440 is a wasteful number, since it uses less digits than its factorization.

45253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 45253440 is about 6727.0677118638. The cubic root of 45253440 is about 356.3558282085.

Adding to 45253440 its reverse (4435254), we get a palindrome (49688694).

The spelling of 45253440 in words is "forty-five million, two hundred fifty-three thousand, four hundred forty".