Search a number
-
+
1092589344 = 253371121493
BaseRepresentation
bin100000100011111…
…1001011100100000
32211010220021211000
41001013321130200
54214200324334
6300225552000
736034566450
oct10107713440
92733807730
101092589344
11510813600
12265aa5600
13145487892
14a516dd60
1565dc0299
hex411f9720

1092589344 has 288 divisors, whose sum is σ = 4005832320. Its totient is φ = 283599360.

The previous prime is 1092589343. The next prime is 1092589349. The reversal of 1092589344 is 4439852901.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1092589344.

It is not an unprimeable number, because it can be changed into a prime (1092589343) 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 47 ways as a sum of consecutive naturals, for example, 731062 + ... + 732554.

It is an arithmetic number, because the mean of its divisors is an integer number (13909140).

Almost surely, 21092589344 is an apocalyptic number.

1092589344 is a gapful number since it is divisible by the number (14) 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 1092589344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002916160).

1092589344 is an abundant number, since it is smaller than the sum of its proper divisors (2913242976).

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

1092589344 is a wasteful number, since it uses less digits than its factorization.

1092589344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1092589344 is about 33054.3392612831. The cubic root of 1092589344 is about 1029.9567468562.

The spelling of 1092589344 in words is "one billion, ninety-two million, five hundred eighty-nine thousand, three hundred forty-four".