Search a number
-
+
542458305 = 32531388859
BaseRepresentation
bin100000010101010…
…100000111000001
31101210201201220100
4200111110013001
52102332131210
6125454433013
716304551044
oct4025240701
91353651810
10542458305
11259226a54
12131802769
13884cc85c
1452088c5b
15329535c0
hex205541c1

542458305 has 24 divisors (see below), whose sum is σ = 970594560. Its totient is φ = 279977760.

The previous prime is 542458283. The next prime is 542458307. The reversal of 542458305 is 503854245.

542458305 is a `hidden beast` number, since 54 + 24 + 583 + 0 + 5 = 666.

It is not a de Polignac number, because 542458305 - 210 = 542457281 is a prime.

It is a super-3 number, since 3×5424583053 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 542458305.

It is not an unprimeable number, because it can be changed into a prime (542458307) 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, 193035 + ... + 195824.

It is an arithmetic number, because the mean of its divisors is an integer number (40441440).

Almost surely, 2542458305 is an apocalyptic number.

It is an amenable number.

542458305 is a deficient number, since it is larger than the sum of its proper divisors (428136255).

542458305 is a wasteful number, since it uses less digits than its factorization.

542458305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388901 (or 388898 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 542458305 is about 23290.7343164616. The cubic root of 542458305 is about 815.5591305417.

The spelling of 542458305 in words is "five hundred forty-two million, four hundred fifty-eight thousand, three hundred five".

Divisors: 1 3 5 9 15 31 45 93 155 279 465 1395 388859 1166577 1944295 3499731 5832885 12054629 17498655 36163887 60273145 108491661 180819435 542458305