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42242080 = 255264013
BaseRepresentation
bin1010000100100…
…1000000100000
32221111010020111
42201021000200
541303221310
64105221104
71022023516
oct241110040
987433214
1042242080
1121932111
1212191794
1389a021a
1458784b6
153a9628a
hex2849020

42242080 has 24 divisors (see below), whose sum is σ = 99797292. Its totient is φ = 16896768.

The previous prime is 42242077. The next prime is 42242087. The reversal of 42242080 is 8024224.

It can be written as a sum of positive squares in 2 ways, for example, as 35952016 + 6290064 = 5996^2 + 2508^2 .

It is not an unprimeable number, because it can be changed into a prime (42242087) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 131847 + ... + 132166.

Almost surely, 242242080 is an apocalyptic number.

42242080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42242080 is an abundant number, since it is smaller than the sum of its proper divisors (57555212).

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

42242080 is a wasteful number, since it uses less digits than its factorization.

42242080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264028 (or 264020 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 42242080 is about 6499.3907406772. The cubic root of 42242080 is about 348.2692239996.

It can be divided in two parts, 422420 and 80, that added together give a square (422500 = 6502).

The spelling of 42242080 in words is "forty-two million, two hundred forty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 264013 528026 1056052 1320065 2112104 2640130 4224208 5280260 8448416 10560520 21121040 42242080