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42764724 = 22321769877
BaseRepresentation
bin1010001100100…
…0100110110100
32222110200011200
42203020212310
541421432344
64124332500
71026331332
oct243104664
988420150
1042764724
1122159852
12123a4130
138b24092
145972b52
153b4b069
hex28c89b4

42764724 has 36 divisors (see below), whose sum is σ = 114460164. Its totient is φ = 13416192.

The previous prime is 42764723. The next prime is 42764773. The reversal of 42764724 is 42746724.

It is a happy number.

42764724 is a `hidden beast` number, since 4 + 2 + 7 + 647 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13927824 + 28836900 = 3732^2 + 5370^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42764723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34327 + ... + 35550.

It is an arithmetic number, because the mean of its divisors is an integer number (3179449).

Almost surely, 242764724 is an apocalyptic number.

It is an amenable number.

42764724 is an abundant number, since it is smaller than the sum of its proper divisors (71695440).

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

42764724 is a wasteful number, since it uses less digits than its factorization.

42764724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69904 (or 69899 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The square root of 42764724 is about 6539.4742907974. The cubic root of 42764724 is about 349.6996716193.

The spelling of 42764724 in words is "forty-two million, seven hundred sixty-four thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 69877 139754 209631 279508 419262 628893 838524 1187909 1257786 2375818 2515572 3563727 4751636 7127454 10691181 14254908 21382362 42764724