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42464340 = 22325269877
BaseRepresentation
bin1010000111111…
…1010001010100
32221220102010100
42201333101110
541332324330
64114054100
71023640512
oct241772124
987812110
1042464340
1121a740a6
121227a330
138a4a439
1458d54b2
153adc060
hex287f454

42464340 has 72 divisors (see below), whose sum is σ = 129434760. Its totient is φ = 11268864.

The previous prime is 42464333. The next prime is 42464347. The reversal of 42464340 is 4346424.

42464340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42464333) and next prime (42464347).

It can be written as a sum of positive squares in 4 ways, for example, as 2547216 + 39917124 = 1596^2 + 6318^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42464347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47982 + ... + 48858.

It is an arithmetic number, because the mean of its divisors is an integer number (1797705).

Almost surely, 242464340 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 42464340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64717380).

42464340 is an abundant number, since it is smaller than the sum of its proper divisors (86970420).

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

42464340 is a wasteful number, since it uses less digits than its factorization.

42464340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 42464340 is about 6516.4668341057. The cubic root of 42464340 is about 348.8789710684.

The spelling of 42464340 in words is "forty-two million, four hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 269 538 807 877 1076 1345 1614 1754 2421 2631 2690 3228 3508 4035 4385 4842 5262 5380 7893 8070 8770 9684 10524 12105 13155 15786 16140 17540 24210 26310 31572 39465 48420 52620 78930 157860 235913 471826 707739 943652 1179565 1415478 2123217 2359130 2830956 3538695 4246434 4718260 7077390 8492868 10616085 14154780 21232170 42464340