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42616720 = 245532709
BaseRepresentation
bin1010001010010…
…0011110010000
32222012011011001
42202210132100
541402213340
64121231344
71025143666
oct242443620
988164131
1042616720
1122068633
1212332554
138aa18c3
145934c36
153b1c29a
hex28a4790

42616720 has 20 divisors (see below), whose sum is σ = 99084060. Its totient is φ = 17046656.

The previous prime is 42616699. The next prime is 42616729. The reversal of 42616720 is 2761624.

It can be written as a sum of positive squares in 2 ways, for example, as 15618304 + 26998416 = 3952^2 + 5196^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (42616729) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 266275 + ... + 266434.

It is an arithmetic number, because the mean of its divisors is an integer number (4954203).

Almost surely, 242616720 is an apocalyptic number.

42616720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42616720 is an abundant number, since it is smaller than the sum of its proper divisors (56467340).

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

42616720 is a wasteful number, since it uses less digits than its factorization.

42616720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532722 (or 532716 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 42616720 is about 6528.1482826296. The cubic root of 42616720 is about 349.2957813036.

The spelling of 42616720 in words is "forty-two million, six hundred sixteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 532709 1065418 2130836 2663545 4261672 5327090 8523344 10654180 21308360 42616720