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542664 = 23327537
BaseRepresentation
bin10000100011111001000
31000120101200
42010133020
5114331124
615344200
74420053
oct2043710
91016350
10542664
11340791
12222060
13160005
14101a9a
15aabc9
hex847c8

542664 has 24 divisors (see below), whose sum is σ = 1469910. Its totient is φ = 180864.

The previous prime is 542603. The next prime is 542683. The reversal of 542664 is 466245.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 476100 + 66564 = 690^2 + 258^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

542664 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 5 ways as a sum of consecutive naturals, for example, 3697 + ... + 3840.

2542664 is an apocalyptic number.

It is an amenable number.

542664 is an abundant number, since it is smaller than the sum of its proper divisors (927246).

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

542664 is a wasteful number, since it uses less digits than its factorization.

542664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7549 (or 7542 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 542664 is about 736.6573151744. The cubic root of 542664 is about 81.5662201588.

The spelling of 542664 in words is "five hundred forty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 7537 15074 22611 30148 45222 60296 67833 90444 135666 180888 271332 542664