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42740560 = 2452292333
BaseRepresentation
bin1010001100001…
…0101101010000
32222102110000201
42203002231100
541420144220
64124024544
71026201022
oct243025520
988373021
1042740560
1122142685
1212392154
138b16095
145968012
153b43d0a
hex28c2b50

42740560 has 40 divisors (see below), whose sum is σ = 99848520. Its totient is φ = 17014272.

The previous prime is 42740549. The next prime is 42740591. The reversal of 42740560 is 6504724.

It can be written as a sum of positive squares in 4 ways, for example, as 9884736 + 32855824 = 3144^2 + 5732^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×427405602 = 3653510938227200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17154 + ... + 19486.

It is an arithmetic number, because the mean of its divisors is an integer number (2496213).

Almost surely, 242740560 is an apocalyptic number.

42740560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42740560 is an abundant number, since it is smaller than the sum of its proper divisors (57107960).

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

42740560 is a wasteful number, since it uses less digits than its factorization.

42740560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2575 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 42740560 is about 6537.6264806121. The cubic root of 42740560 is about 349.6337938417.

The spelling of 42740560 in words is "forty-two million, seven hundred forty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 229 458 916 1145 1832 2290 2333 3664 4580 4666 9160 9332 11665 18320 18664 23330 37328 46660 93320 186640 534257 1068514 2137028 2671285 4274056 5342570 8548112 10685140 21370280 42740560