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42271200 = 25335219103
BaseRepresentation
bin1010000101000…
…0000111100000
32221112121012000
42201100013200
541310134300
64110004000
71022204436
oct241200740
987477160
1042271200
1121951a84
12121a6600
1389b055a
145884d56
153a9ec00
hex28501e0

42271200 has 288 divisors, whose sum is σ = 162489600. Its totient is φ = 10575360.

The previous prime is 42271169. The next prime is 42271223. The reversal of 42271200 is 217224.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 410349 + ... + 410451.

It is an arithmetic number, because the mean of its divisors is an integer number (564200).

Almost surely, 242271200 is an apocalyptic number.

42271200 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 42271200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81244800).

42271200 is an abundant number, since it is smaller than the sum of its proper divisors (120218400).

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

42271200 is a wasteful number, since it uses less digits than its factorization.

42271200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 42271200 is about 6501.6305647122. The cubic root of 42271200 is about 348.3492332407.

Adding to 42271200 its reverse (217224), we get a palindrome (42488424).

The spelling of 42271200 in words is "forty-two million, two hundred seventy-one thousand, two hundred".