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1450848100 = 22521322932
BaseRepresentation
bin101011001111010…
…0010111101100100
310202010000201102211
41112132202331210
510432404114400
6355544413204
750645001562
oct12636427544
93663021384
101450848100
11684a69719
12345a77204
131a1772c00
14da98aa32
hex567a2f64

1450848100 has 81 divisors (see below), whose sum is σ = 3420824673. Its totient is φ = 533869440.

The previous prime is 1450848089. The next prime is 1450848101. The reversal of 1450848100 is 18480541.

The square root of 1450848100 is 38090.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 698333476 + 752514624 = 26426^2 + 27432^2 .

It is a super-2 number, since 2×14508481002 = 4209920418547220000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1450848101) 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 26 ways as a sum of consecutive naturals, for example, 4951554 + ... + 4951846.

Almost surely, 21450848100 is an apocalyptic number.

1450848100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1450848100 is the 38090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1450848100

1450848100 is an abundant number, since it is smaller than the sum of its proper divisors (1969976573).

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

1450848100 is a wasteful number, since it uses less digits than its factorization.

1450848100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 31.

The cubic root of 1450848100 is about 1132.0718249074.

The spelling of 1450848100 in words is "one billion, four hundred fifty million, eight hundred forty-eight thousand, one hundred".