Search a number
-
+
1452441408 = 263112101619
BaseRepresentation
bin101011010010010…
…0111111101000000
310202020000200001020
41112210213331000
510433311111113
6400042505440
750664356025
oct12644477500
93666020036
101452441408
11685957800
12346505280
131a1bb01b2
14dac8354c
15877a3023
hex56927f40

1452441408 has 168 divisors, whose sum is σ = 4272747360. Its totient is φ = 435072000.

The previous prime is 1452441371. The next prime is 1452441449. The reversal of 1452441408 is 8041442541.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2346123 + ... + 2346741.

It is an arithmetic number, because the mean of its divisors is an integer number (25433020).

Almost surely, 21452441408 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 1452441408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2136373680).

1452441408 is an abundant number, since it is smaller than the sum of its proper divisors (2820305952).

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

1452441408 is a wasteful number, since it uses less digits than its factorization.

1452441408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 1452441408 is about 38110.9093042924. The cubic root of 1452441408 is about 1132.4860835778.

Adding to 1452441408 its reverse (8041442541), we get a palindrome (9493883949).

The spelling of 1452441408 in words is "one billion, four hundred fifty-two million, four hundred forty-one thousand, four hundred eight".