Search a number
-
+
542808024 = 233115934849
BaseRepresentation
bin100000010110101…
…001011111011000
31101211101111121220
4200112221133120
52102424324044
6125510132040
716310535453
oct4026513730
91354344556
10542808024
11259445780
12131951020
13885c2aa5
145213a49a
15329c2019
hex205a97d8

542808024 has 64 divisors (see below), whose sum is σ = 1505520000. Its totient is φ = 161694720.

The previous prime is 542808001. The next prime is 542808041. The reversal of 542808024 is 420808245.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1849 + ... + 33000.

It is an arithmetic number, because the mean of its divisors is an integer number (23523750).

Almost surely, 2542808024 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 542808024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752760000).

542808024 is an abundant number, since it is smaller than the sum of its proper divisors (962711976).

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

542808024 is a wasteful number, since it uses less digits than its factorization.

542808024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34928 (or 34924 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 542808024 is about 23298.2407919568. The cubic root of 542808024 is about 815.7343546100.

The spelling of 542808024 in words is "five hundred forty-two million, eight hundred eight thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 59 66 88 118 132 177 236 264 354 472 649 708 1298 1416 1947 2596 3894 5192 7788 15576 34849 69698 104547 139396 209094 278792 383339 418188 766678 836376 1150017 1533356 2056091 2300034 3066712 4112182 4600068 6168273 8224364 9200136 12336546 16448728 22617001 24673092 45234002 49346184 67851003 90468004 135702006 180936008 271404012 542808024