Search a number
-
+
541444992 = 27311243271
BaseRepresentation
bin100000010001011…
…100101110000000
31101201211020220020
4200101130232000
52102102214432
6125421013440
716263130554
oct4021345600
91351736806
10541444992
112586a4700
121313b4280
138823656a
1451ca3864
153280322c
hex2045cb80

541444992 has 192 divisors, whose sum is σ = 1623578880. Its totient is φ = 159667200.

The previous prime is 541444921. The next prime is 541444997. The reversal of 541444992 is 299444145.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541444997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1997817 + ... + 1998087.

It is an arithmetic number, because the mean of its divisors is an integer number (8456140).

Almost surely, 2541444992 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 541444992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811789440).

541444992 is an abundant number, since it is smaller than the sum of its proper divisors (1082133888).

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

541444992 is a wasteful number, since it uses less digits than its factorization.

541444992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 330 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 541444992 is about 23268.9705831607. The cubic root of 541444992 is about 815.0509920797.

The spelling of 541444992 in words is "five hundred forty-one million, four hundred forty-four thousand, nine hundred ninety-two".