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542336 = 2719223
BaseRepresentation
bin10000100011010000000
31000112221112
42010122000
5114323321
615342452
74416104
oct2043200
91015845
10542336
11340513
12221a28
1315cb12
14101904
15aaa5b
hex84680

542336 has 32 divisors (see below), whose sum is σ = 1142400. Its totient is φ = 255744.

The previous prime is 542323. The next prime is 542371. The reversal of 542336 is 633245.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2321 + ... + 2543.

It is an arithmetic number, because the mean of its divisors is an integer number (35700).

2542336 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 542336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571200).

542336 is an abundant number, since it is smaller than the sum of its proper divisors (600064).

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

542336 is a wasteful number, since it uses less digits than its factorization.

542336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 244 counting only the distinct ones).

The product of its digits is 2160, while the sum is 23.

The square root of 542336 is about 736.4346542634. The cubic root of 542336 is about 81.5497832770.

Subtracting 542336 from its reverse (633245), we obtain a palindrome (90909).

It can be divided in two parts, 542 and 336, that added together give a palindrome (878).

The spelling of 542336 in words is "five hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 223 304 446 608 892 1216 1784 2432 3568 4237 7136 8474 14272 16948 28544 33896 67792 135584 271168 542336