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42881100 = 22352197523
BaseRepresentation
bin1010001110010…
…1000001001100
32222200120210220
42203211001030
541434143400
64131031340
71030324533
oct243450114
988616726
1042881100
1122229229
121243b550
138b65042
1459a331a
153b707a0
hex28e504c

42881100 has 72 divisors (see below), whose sum is σ = 130616640. Its totient is φ = 10831680.

The previous prime is 42881099. The next prime is 42881101. The reversal of 42881100 is 118824.

It is an interprime number because it is at equal distance from previous prime (42881099) and next prime (42881101).

It is not an unprimeable number, because it can be changed into a prime (42881101) 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, 1939 + ... + 9461.

It is an arithmetic number, because the mean of its divisors is an integer number (1814120).

Almost surely, 242881100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42881100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65308320).

42881100 is an abundant number, since it is smaller than the sum of its proper divisors (87735540).

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

42881100 is a wasteful number, since it uses less digits than its factorization.

42881100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7559 (or 7552 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 42881100 is about 6548.3662084523. The cubic root of 42881100 is about 350.0165978523.

Adding to 42881100 its reverse (118824), we get a palindrome (42999924).

The spelling of 42881100 in words is "forty-two million, eight hundred eighty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 7523 15046 22569 30092 37615 45138 75230 90276 112845 142937 150460 188075 225690 285874 376150 428811 451380 564225 571748 714685 752300 857622 1128450 1429370 1715244 2144055 2256900 2858740 3573425 4288110 7146850 8576220 10720275 14293700 21440550 42881100