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42440160 = 2535717743
BaseRepresentation
bin1010000111100…
…1010111100000
32221212011221210
42201321113200
541331041120
64113350120
71023510150
oct241712740
987764853
1042440160
1121a57a14
1212268340
138a3c429
1458ca760
153ad4ce0
hex28795e0

42440160 has 192 divisors, whose sum is σ = 161989632. Its totient is φ = 9117696.

The previous prime is 42440149. The next prime is 42440161. The reversal of 42440160 is 6104424.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42440161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56749 + ... + 57491.

It is an arithmetic number, because the mean of its divisors is an integer number (843696).

Almost surely, 242440160 is an apocalyptic number.

42440160 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 42440160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80994816).

42440160 is an abundant number, since it is smaller than the sum of its proper divisors (119549472).

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

42440160 is a wasteful number, since it uses less digits than its factorization.

42440160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 42440160 is about 6514.6112700606. The cubic root of 42440160 is about 348.8127390628.

Adding to 42440160 its reverse (6104424), we get a palindrome (48544584).

The spelling of 42440160 in words is "forty-two million, four hundred forty thousand, one hundred sixty".