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42831360 = 2932511132
BaseRepresentation
bin1010001101100…
…0111000000000
32222121001120200
42203120320000
541431100420
64130005200
71030026525
oct243307000
988531520
1042831360
11221a4920
1212416800
138b48500
14598d14c
153b60b90
hex28d8e00

42831360 has 360 divisors, whose sum is σ = 175227624. Its totient is φ = 9584640.

The previous prime is 42831353. The next prime is 42831361. The reversal of 42831360 is 6313824.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42831361) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3294714 + ... + 3294726.

Almost surely, 242831360 is an apocalyptic number.

42831360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42831360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87613812).

42831360 is an abundant number, since it is smaller than the sum of its proper divisors (132396264).

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

42831360 is a wasteful number, since it uses less digits than its factorization.

42831360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 42831360 is about 6544.5672125817. The cubic root of 42831360 is about 349.8812113889.

The spelling of 42831360 in words is "forty-two million, eight hundred thirty-one thousand, three hundred sixty".