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42008220 = 2234525931
BaseRepresentation
bin1010000000111…
…1111010011100
32221001020110000
42200033322130
541223230340
64100214300
71020030642
oct240177234
987036400
1042008220
1121792441
121209a390
13891a947
145817192
153a4bd30
hex280fe9c

42008220 has 60 divisors (see below), whose sum is σ = 131786424. Its totient is φ = 11201760.

The previous prime is 42008191. The next prime is 42008227. The reversal of 42008220 is 2280024.

42008220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 42008193 and 42008202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42008227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11346 + ... + 14585.

Almost surely, 242008220 is an apocalyptic number.

It is an amenable number.

42008220 is an abundant number, since it is smaller than the sum of its proper divisors (89778204).

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

42008220 is a wasteful number, since it uses less digits than its factorization.

42008220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25952 (or 25941 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 42008220 is about 6481.3748541494. The cubic root of 42008220 is about 347.6253399451.

Adding to 42008220 its reverse (2280024), we get a palindrome (44288244).

The spelling of 42008220 in words is "forty-two million, eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 25931 51862 77793 103724 129655 155586 233379 259310 311172 388965 466758 518620 700137 777930 933516 1166895 1400274 1555860 2100411 2333790 2800548 3500685 4200822 4667580 7001370 8401644 10502055 14002740 21004110 42008220