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541489152 = 2113312843
BaseRepresentation
bin100000010001100…
…111100000000000
31101201220111110210
4200101213200000
52102110123102
6125421554120
716263403401
oct4021474000
91351814423
10541489152
112587248a6
12131415940
13882506a9
1451cb59a8
153281136c
hex20467800

541489152 has 96 divisors (see below), whose sum is σ = 1490711040. Its totient is φ = 174612480.

The previous prime is 541489139. The next prime is 541489177. The reversal of 541489152 is 251984145.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 541489152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189043 + ... + 191885.

It is an arithmetic number, because the mean of its divisors is an integer number (15528240).

Almost surely, 2541489152 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 541489152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745355520).

541489152 is an abundant number, since it is smaller than the sum of its proper divisors (949221888).

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

541489152 is a wasteful number, since it uses less digits than its factorization.

541489152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2899 (or 2879 counting only the distinct ones).

The product of its digits is 57600, while the sum is 39.

The square root of 541489152 is about 23269.9194669857. The cubic root of 541489152 is about 815.0731498697.

The spelling of 541489152 in words is "five hundred forty-one million, four hundred eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1024 1488 1536 1984 2048 2843 2976 3072 3968 5686 5952 6144 7936 8529 11372 11904 15872 17058 22744 23808 31744 34116 45488 47616 63488 68232 88133 90976 95232 136464 176266 181952 190464 264399 272928 352532 363904 528798 545856 705064 727808 1057596 1091712 1410128 1455616 2115192 2183424 2820256 2911232 4230384 4366848 5640512 5822464 8460768 8733696 11281024 16921536 17467392 22562048 33843072 45124096 67686144 90248192 135372288 180496384 270744576 541489152