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42362208 = 2532721013
BaseRepresentation
bin1010000110011…
…0010101100000
32221201020000200
42201212111200
541321042313
64111545200
71023033660
oct241462540
987636020
1042362208
1121a04399
121222b200
138a12ac5
1458aa1a0
153abbb73
hex2866560

42362208 has 72 divisors (see below), whose sum is σ = 137683728. Its totient is φ = 12102912.

The previous prime is 42362207. The next prime is 42362209. The reversal of 42362208 is 80226324.

It is an interprime number because it is at equal distance from previous prime (42362207) and next prime (42362209).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42362207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8491 + ... + 12522.

It is an arithmetic number, because the mean of its divisors is an integer number (1912274).

Almost surely, 242362208 is an apocalyptic number.

42362208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42362208 is an abundant number, since it is smaller than the sum of its proper divisors (95321520).

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

42362208 is a wasteful number, since it uses less digits than its factorization.

42362208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21036 (or 21025 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 42362208 is about 6508.6256613820. The cubic root of 42362208 is about 348.5990474782.

The spelling of 42362208 in words is "forty-two million, three hundred sixty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 21013 42026 63039 84052 126078 147091 168104 189117 252156 294182 336208 378234 441273 504312 588364 672416 756468 882546 1008624 1176728 1323819 1512936 1765092 2017248 2353456 2647638 3025872 3530184 4706912 5295276 6051744 7060368 10590552 14120736 21181104 42362208