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42412216 = 23711312221
BaseRepresentation
bin1010000111001…
…0100010111000
32221210202121211
42201302202320
541324142331
64113012504
71023332530
oct241624270
987722554
1042412216
1121a38a20
1212254134
138a2c7b2
1458c04c0
153acb8b1
hex28728b8

42412216 has 64 divisors (see below), whose sum is σ = 102389760. Its totient is φ = 15984000.

The previous prime is 42412213. The next prime is 42412219. The reversal of 42412216 is 61221424.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42412213) and next prime (42412219).

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42412211) by changing a digit.

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, 17986 + ... + 20206.

It is an arithmetic number, because the mean of its divisors is an integer number (1599840).

Almost surely, 242412216 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 42412216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51194880).

42412216 is an abundant number, since it is smaller than the sum of its proper divisors (59977544).

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

42412216 is a wasteful number, since it uses less digits than its factorization.

42412216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2272 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 42412216 is about 6512.4661995284. The cubic root of 42412216 is about 348.7361656533.

The spelling of 42412216 in words is "forty-two million, four hundred twelve thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 56 62 77 88 124 154 217 248 308 341 434 616 682 868 1364 1736 2221 2387 2728 4442 4774 8884 9548 15547 17768 19096 24431 31094 48862 62188 68851 97724 124376 137702 171017 195448 275404 342034 481957 550808 684068 757361 963914 1368136 1514722 1927828 3029444 3855656 5301527 6058888 10603054 21206108 42412216