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42849360 = 2432559513
BaseRepresentation
bin1010001101110…
…1010001010000
32222121222021100
42203131101100
541432134420
64130224400
71030133151
oct243352120
988558240
1042849360
11222073a4
1212425100
138b53768
145995928
153b66190
hex28dd450

42849360 has 60 divisors (see below), whose sum is σ = 143904852. Its totient is φ = 11426304.

The previous prime is 42849349. The next prime is 42849377. The reversal of 42849360 is 6394824.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4359744 + 38489616 = 2088^2 + 6204^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

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, 29037 + ... + 30476.

Almost surely, 242849360 is an apocalyptic number.

42849360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42849360 is an abundant number, since it is smaller than the sum of its proper divisors (101055492).

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

42849360 is a wasteful number, since it uses less digits than its factorization.

42849360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59532 (or 59523 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 42849360 is about 6545.9422545574. The cubic root of 42849360 is about 349.9302173803.

The spelling of 42849360 in words is "forty-two million, eight hundred forty-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 59513 119026 178539 238052 297565 357078 476104 535617 595130 714156 892695 952208 1071234 1190260 1428312 1785390 2142468 2380520 2678085 2856624 3570780 4284936 4761040 5356170 7141560 8569872 10712340 14283120 21424680 42849360