Search a number
-
+
1923448032 = 253511113199
BaseRepresentation
bin111001010100101…
…0111110011100000
311222001022021200000
41302221113303200
512414400314112
6514510100000
765444016132
oct16251276340
94861267600
101923448032
118a7810a80
124581aa600
1324865353c
1414364d052
15b3ce07dc
hex72a57ce0

1923448032 has 288 divisors, whose sum is σ = 6274195200. Its totient is φ = 574801920.

The previous prime is 1923448027. The next prime is 1923448061. The reversal of 1923448032 is 2308443291.

1923448032 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9665469 + ... + 9665667.

It is an arithmetic number, because the mean of its divisors is an integer number (21785400).

Almost surely, 21923448032 is an apocalyptic number.

1923448032 is a gapful number since it is divisible by the number (12) 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 1923448032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3137097600).

1923448032 is an abundant number, since it is smaller than the sum of its proper divisors (4350747168).

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

1923448032 is a wasteful number, since it uses less digits than its factorization.

1923448032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1923448032 is about 43857.1320539773. The cubic root of 1923448032 is about 1243.6365739108.

The spelling of 1923448032 in words is "one billion, nine hundred twenty-three million, four hundred forty-eight thousand, thirty-two".