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542388 = 223711587
BaseRepresentation
bin10000100011010110100
31000120000110
42010122310
5114324023
615343020
74416210
oct2043264
91016013
10542388
11340560
12221a70
1315cb52
14101940
15aaa93
hex846b4

542388 has 48 divisors (see below), whose sum is σ = 1580544. Its totient is φ = 140640.

The previous prime is 542371. The next prime is 542401. The reversal of 542388 is 883245.

It is a d-powerful number, because it can be written as 56 + 44 + 37 + 25 + 86 + 86 .

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 542388.

It is an unprimeable number.

542388 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 631 + ... + 1217.

It is an arithmetic number, because the mean of its divisors is an integer number (32928).

2542388 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 542388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790272).

542388 is an abundant number, since it is smaller than the sum of its proper divisors (1038156).

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

542388 is a wasteful number, since it uses less digits than its factorization.

542388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 610 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 542388 is about 736.4699586541. The cubic root of 542388 is about 81.5523895660.

It can be divided in two parts, 54 and 2388, that added together give a palindrome (2442).

The spelling of 542388 in words is "five hundred forty-two thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 587 924 1174 1761 2348 3522 4109 6457 7044 8218 12327 12914 16436 19371 24654 25828 38742 45199 49308 77484 90398 135597 180796 271194 542388