Search a number
-
+
1449892080 = 2432571322129
BaseRepresentation
bin101011001101011…
…1001100011110000
310202001020011000200
41112122321203300
510432133021310
6355512115200
750633610420
oct12632714360
93661204020
101449892080
1168447641a
12345695b00
131a14c9a10
14da7bc480
158744c9c0
hex566b98f0

1449892080 has 240 divisors, whose sum is σ = 5993158080. Its totient is φ = 305897472.

The previous prime is 1449892069. The next prime is 1449892111. The reversal of 1449892080 is 802989441.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54456 + ... + 76584.

It is an arithmetic number, because the mean of its divisors is an integer number (24971492).

Almost surely, 21449892080 is an apocalyptic number.

1449892080 is a gapful number since it is divisible by the number (10) 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 1449892080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996579040).

1449892080 is an abundant number, since it is smaller than the sum of its proper divisors (4543266000).

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

1449892080 is a wasteful number, since it uses less digits than its factorization.

1449892080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22168 (or 22159 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1449892080 is about 38077.4484439281. The cubic root of 1449892080 is about 1131.8231149488.

The spelling of 1449892080 in words is "one billion, four hundred forty-nine million, eight hundred ninety-two thousand, eighty".