Search a number
-
+
452900448 = 2532711131571
BaseRepresentation
bin11010111111101…
…011011001100000
31011120012201121200
4122333223121200
51411420303243
6112535121200
714136406320
oct3277533140
91146181550
10452900448
112127178a0
12107813200
1372aa3c40
1444215280
1529b62ad3
hex1afeb660

452900448 has 288 divisors, whose sum is σ = 1730356992. Its totient is φ = 108518400.

The previous prime is 452900447. The next prime is 452900449. The reversal of 452900448 is 844009254.

It is an interprime number because it is at equal distance from previous prime (452900447) and next prime (452900449).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452900447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287503 + ... + 289073.

It is an arithmetic number, because the mean of its divisors is an integer number (6008184).

Almost surely, 2452900448 is an apocalyptic number.

452900448 is a gapful number since it is divisible by the number (48) 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 452900448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865178496).

452900448 is an abundant number, since it is smaller than the sum of its proper divisors (1277456544).

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

452900448 is a wasteful number, since it uses less digits than its factorization.

452900448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 452900448 is about 21281.4578448000. The cubic root of 452900448 is about 767.9523082364.

The spelling of 452900448 in words is "four hundred fifty-two million, nine hundred thousand, four hundred forty-eight".