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42530640 = 2435177211
BaseRepresentation
bin1010001000111…
…1011101010000
32222000210001220
42202033131100
541341440030
64115325040
71024335015
oct242173520
988023056
1042530640
1122009999
12122b0780
138a71679
14591170c
153b01a10
hex288f750

42530640 has 40 divisors (see below), whose sum is σ = 131845728. Its totient is φ = 11341440.

The previous prime is 42530623. The next prime is 42530647. The reversal of 42530640 is 4603524.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 42530640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42530647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88366 + ... + 88845.

Almost surely, 242530640 is an apocalyptic number.

42530640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42530640 is an abundant number, since it is smaller than the sum of its proper divisors (89315088).

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

42530640 is a wasteful number, since it uses less digits than its factorization.

42530640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177227 (or 177221 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 42530640 is about 6521.5519625316. The cubic root of 42530640 is about 349.0604460673.

The spelling of 42530640 in words is "forty-two million, five hundred thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 177211 354422 531633 708844 886055 1063266 1417688 1772110 2126532 2658165 2835376 3544220 4253064 5316330 7088440 8506128 10632660 14176880 21265320 42530640