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42214240 = 255439601
BaseRepresentation
bin1010000100001…
…0001101100000
32221102201001101
42201002031200
541301323430
64104444144
71021546405
oct241021540
987381041
1042214240
1121913202
1212179654
138990653
14586c2ac
153a8cdca
hex2842360

42214240 has 48 divisors (see below), whose sum is σ = 100124640. Its totient is φ = 16819200.

The previous prime is 42214217. The next prime is 42214243. The reversal of 42214240 is 4241224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42214243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69940 + ... + 70540.

It is an arithmetic number, because the mean of its divisors is an integer number (2085930).

Almost surely, 242214240 is an apocalyptic number.

42214240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42214240 is an abundant number, since it is smaller than the sum of its proper divisors (57910400).

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

42214240 is a wasteful number, since it uses less digits than its factorization.

42214240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 42214240 is about 6497.2486484665. The cubic root of 42214240 is about 348.1926972596.

Adding to 42214240 its reverse (4241224), we get a palindrome (46455464).

The spelling of 42214240 in words is "forty-two million, two hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 439 601 878 1202 1756 2195 2404 3005 3512 4390 4808 6010 7024 8780 9616 12020 14048 17560 19232 24040 35120 48080 70240 96160 263839 527678 1055356 1319195 2110712 2638390 4221424 5276780 8442848 10553560 21107120 42214240