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42213042 = 233978059
BaseRepresentation
bin1010000100000…
…1111010110010
32221102122102000
42201001322302
541301304132
64104434430
71021543044
oct241017262
987378360
1042213042
1121912313
1212178a16
13898cc41
14586ba94
153a8c87c
hex2841eb2

42213042 has 32 divisors (see below), whose sum is σ = 94785600. Its totient is φ = 13924224.

The previous prime is 42213029. The next prime is 42213077. The reversal of 42213042 is 24031224.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1209 + ... + 9267.

It is an arithmetic number, because the mean of its divisors is an integer number (2962050).

Almost surely, 242213042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42213042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47392800).

42213042 is an abundant number, since it is smaller than the sum of its proper divisors (52572558).

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

42213042 is a wasteful number, since it uses less digits than its factorization.

42213042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8167 (or 8161 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42213042 is about 6497.1564549424. The cubic root of 42213042 is about 348.1894034359.

Adding to 42213042 its reverse (24031224), we get a palindrome (66244266).

The spelling of 42213042 in words is "forty-two million, two hundred thirteen thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 97 194 291 582 873 1746 2619 5238 8059 16118 24177 48354 72531 145062 217593 435186 781723 1563446 2345169 4690338 7035507 14071014 21106521 42213042