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542724 = 223721371
BaseRepresentation
bin10000100100000000100
31000120110220
42010200010
5114331344
615344340
74420200
oct2044004
91016426
10542724
11340836
122220b0
13160050
14101b00
15aac19
hex84804

542724 has 72 divisors (see below), whose sum is σ = 1608768. Its totient is φ = 141120.

The previous prime is 542723. The next prime is 542747. The reversal of 542724 is 427245.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 542694 and 542703.

It is not an unprimeable number, because it can be changed into a prime (542723) 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, 7609 + ... + 7679.

It is an arithmetic number, because the mean of its divisors is an integer number (22344).

2542724 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 542724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804384).

542724 is an abundant number, since it is smaller than the sum of its proper divisors (1066044).

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

542724 is a wasteful number, since it uses less digits than its factorization.

542724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 96 counting only the distinct ones).

The product of its digits is 2240, while the sum is 24.

The square root of 542724 is about 736.6980385477. The cubic root of 542724 is about 81.5692261889.

Adding to 542724 its reverse (427245), we get a palindrome (969969).

The spelling of 542724 in words is "five hundred forty-two thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 71 78 84 91 98 142 147 156 182 196 213 273 284 294 364 426 497 546 588 637 852 923 994 1092 1274 1491 1846 1911 1988 2548 2769 2982 3479 3692 3822 5538 5964 6461 6958 7644 10437 11076 12922 13916 19383 20874 25844 38766 41748 45227 77532 90454 135681 180908 271362 542724