Search a number
-
+
542523630 = 235116126951
BaseRepresentation
bin100000010101100…
…100000011101110
31101210212001111210
4200111210003232
52102341224010
6125500055250
716305242355
oct4025440356
91353761453
10542523630
11259271040
12131834526
13885234cc
14520a499c
1532967b20
hex205640ee

542523630 has 64 divisors (see below), whose sum is σ = 1443764736. Its totient is φ = 129360000.

The previous prime is 542523623. The next prime is 542523649. The reversal of 542523630 is 36325245.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6655 + ... + 33605.

It is an arithmetic number, because the mean of its divisors is an integer number (22558824).

Almost surely, 2542523630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542523630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721882368).

542523630 is an abundant number, since it is smaller than the sum of its proper divisors (901241106).

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

542523630 is a wasteful number, since it uses less digits than its factorization.

542523630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27033.

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 542523630 is about 23292.1366559618. The cubic root of 542523630 is about 815.5918668592.

Adding to 542523630 its reverse (36325245), we get a palindrome (578848875).

The spelling of 542523630 in words is "five hundred forty-two million, five hundred twenty-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 61 66 110 122 165 183 305 330 366 610 671 915 1342 1830 2013 3355 4026 6710 10065 20130 26951 53902 80853 134755 161706 269510 296461 404265 592922 808530 889383 1482305 1644011 1778766 2964610 3288022 4446915 4932033 8220055 8893830 9864066 16440110 18084121 24660165 36168242 49320330 54252363 90420605 108504726 180841210 271261815 542523630