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1452954048 = 263713137607
BaseRepresentation
bin101011010011010…
…0101000111000000
310202020222201020220
41112212211013000
510433424012143
6400101503040
751001622430
oct12646450700
93666881226
101452954048
11686177977
12346711a80
131a202c630
14dad782c0
1587854d83
hex569a51c0

1452954048 has 224 divisors, whose sum is σ = 4773801984. Its totient is φ = 379772928.

The previous prime is 1452954043. The next prime is 1452954067. The reversal of 1452954048 is 8404592541.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×14529540482 = 4222150931199172608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1452954043) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2393361 + ... + 2393967.

It is an arithmetic number, because the mean of its divisors is an integer number (21311616).

Almost surely, 21452954048 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 1452954048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386900992).

1452954048 is an abundant number, since it is smaller than the sum of its proper divisors (3320847936).

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

1452954048 is a wasteful number, since it uses less digits than its factorization.

1452954048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 1452954048 is about 38117.6343442245. The cubic root of 1452954048 is about 1132.6193051024.

The spelling of 1452954048 in words is "one billion, four hundred fifty-two million, nine hundred fifty-four thousand, forty-eight".