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42427440 = 24325112487
BaseRepresentation
bin1010000111011…
…0010000110000
32221211112111200
42201312100300
541330134230
64113211200
71023425106
oct241662060
987745450
1042427440
1121a49400
1212260b00
138a366c3
1458c5c76
153ad1160
hex2876430

42427440 has 180 divisors, whose sum is σ = 156937872. Its totient is φ = 10264320.

The previous prime is 42427421. The next prime is 42427447. The reversal of 42427440 is 4472424.

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (42427447) 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, 86877 + ... + 87363.

Almost surely, 242427440 is an apocalyptic number.

42427440 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 42427440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78468936).

42427440 is an abundant number, since it is smaller than the sum of its proper divisors (114510432).

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

42427440 is a wasteful number, since it uses less digits than its factorization.

42427440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 42427440 is about 6513.6349298990. The cubic root of 42427440 is about 348.7778873140. Note that the first 3 decimals are identical.

Adding to 42427440 its reverse (4472424), we get a palindrome (46899864).

The spelling of 42427440 in words is "forty-two million, four hundred twenty-seven thousand, four hundred forty".