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42229440 = 26325113143
BaseRepresentation
bin1010000100010…
…1111011000000
32221110110220100
42201011323000
541302320230
64105042400
71021641621
oct241057300
987413810
1042229440
1121923670
1212186400
138997546
145873a48
153a92660
hex2845ec0

42229440 has 336 divisors, whose sum is σ = 167371776. Its totient is φ = 9676800.

The previous prime is 42229417. The next prime is 42229441. The reversal of 42229440 is 4492224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42229441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 982059 + ... + 982101.

Almost surely, 242229440 is an apocalyptic number.

42229440 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 42229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83685888).

42229440 is an abundant number, since it is smaller than the sum of its proper divisors (125142336).

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

42229440 is a wasteful number, since it uses less digits than its factorization.

42229440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 95 counting only the distinct ones).

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

The square root of 42229440 is about 6498.4182690867. The cubic root of 42229440 is about 348.2344832691.

The spelling of 42229440 in words is "forty-two million, two hundred twenty-nine thousand, four hundred forty".