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42455424 = 2731119232
BaseRepresentation
bin1010000111110…
…1000110000000
32221212221220010
42201331012000
541332033144
64113544520
71023602514
oct241750600
987787803
1042455424
1121a68430
1212275140
138a4636b
1458d2144
153ad95b9
hex287d180

42455424 has 192 divisors, whose sum is σ = 135374400. Its totient is φ = 11658240.

The previous prime is 42455423. The next prime is 42455471.

42455424 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 42455391 and 42455400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42455423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1845877 + ... + 1845899.

It is an arithmetic number, because the mean of its divisors is an integer number (705075).

Almost surely, 242455424 is an apocalyptic number.

42455424 is a gapful number since it is divisible by the number (44) 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 42455424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67687200).

42455424 is an abundant number, since it is smaller than the sum of its proper divisors (92918976).

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

42455424 is a wasteful number, since it uses less digits than its factorization.

42455424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 58 counting only the distinct ones).

The product of its digits is 25600, while the sum is 30.

The square root of 42455424 is about 6515.7826851423. The cubic root of 42455424 is about 348.8545519704.

It can be divided in two parts, 4245 and 5424, that added together give a palindrome (9669).

The spelling of 42455424 in words is "forty-two million, four hundred fifty-five thousand, four hundred twenty-four".