Search a number
-
+
542883456 = 2732471253
BaseRepresentation
bin100000010110111…
…011111010000000
31101211112100002200
4200112323322000
52102434232311
6125511513200
716311301413
oct4026737200
91354470080
10542883456
11259497415
12131988800
138861b21b
1452159b7a
15329d9556
hex205bbe80

542883456 has 48 divisors (see below), whose sum is σ = 1562207010. Its totient is φ = 180960768.

The previous prime is 542883413. The next prime is 542883487. The reversal of 542883456 is 654388245.

It can be written as a sum of positive squares in only one way, i.e., 407393856 + 135489600 = 20184^2 + 11640^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 234475 + ... + 236778.

Almost surely, 2542883456 is an apocalyptic number.

It is an amenable number.

542883456 is an abundant number, since it is smaller than the sum of its proper divisors (1019323554).

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

542883456 is a wasteful number, since it uses less digits than its factorization.

542883456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471273 (or 471258 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 542883456 is about 23299.8595703923. The cubic root of 542883456 is about 815.7721393767.

The spelling of 542883456 in words is "five hundred forty-two million, eight hundred eighty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 471253 942506 1413759 1885012 2827518 3770024 4241277 5655036 7540048 8482554 11310072 15080096 16965108 22620144 30160192 33930216 45240288 60320384 67860432 90480576 135720864 180961152 271441728 542883456