Search a number
-
+
542458360 = 235196111701
BaseRepresentation
bin100000010101010…
…100000111111000
31101210201201222101
4200111110013320
52102332131420
6125454433144
716304551153
oct4025240770
91353651871
10542458360
11259226aa4
121318027b4
13884cc8a2
1452088c9a
153295360a
hex205541f8

542458360 has 64 divisors (see below), whose sum is σ = 1305943200. Its totient is φ = 202176000.

The previous prime is 542458337. The next prime is 542458361. The reversal of 542458360 is 63854245.

It is a super-2 number, since 2×5424583602 = 588522144667779200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542458361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40510 + ... + 52210.

Almost surely, 2542458360 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 542458360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652971600).

542458360 is an abundant number, since it is smaller than the sum of its proper divisors (763484840).

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

542458360 is a wasteful number, since it uses less digits than its factorization.

542458360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11792 (or 11788 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The square root of 542458360 is about 23290.7354971886. The cubic root of 542458360 is about 815.5591581050.

The spelling of 542458360 in words is "five hundred forty-two million, four hundred fifty-eight thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 19 20 38 40 61 76 95 122 152 190 244 305 380 488 610 760 1159 1220 2318 2440 4636 5795 9272 11590 11701 23180 23402 46360 46804 58505 93608 117010 222319 234020 444638 468040 713761 889276 1111595 1427522 1778552 2223190 2855044 3568805 4446380 5710088 7137610 8892760 13561459 14275220 27122918 28550440 54245836 67807295 108491672 135614590 271229180 542458360