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42462222 = 23115361199
BaseRepresentation
bin1010000111111…
…0110000001110
32221220022012220
42201332300032
541332242342
64114040210
71023631365
oct241766016
987808186
1042462222
1121a72550
1212279066
138a4949a
1458d47dc
153adb5ec
hex287ec0e

42462222 has 64 divisors (see below), whose sum is σ = 96422400. Its totient is φ = 12355200.

The previous prime is 42462221. The next prime is 42462223. The reversal of 42462222 is 22226424.

42462222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42462221) and next prime (42462223).

It is a junction number, because it is equal to n+sod(n) for n = 42462192 and 42462201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42462221) 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 31 ways as a sum of consecutive naturals, for example, 213279 + ... + 213477.

It is an arithmetic number, because the mean of its divisors is an integer number (1506600).

Almost surely, 242462222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42462222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48211200).

42462222 is an abundant number, since it is smaller than the sum of its proper divisors (53960178).

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

42462222 is a wasteful number, since it uses less digits than its factorization.

42462222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329.

The product of its digits is 3072, while the sum is 24.

The square root of 42462222 is about 6516.3043207020. The cubic root of 42462222 is about 348.8731706098.

Adding to 42462222 its reverse (22226424), we get a palindrome (64688646).

It can be divided in two parts, 42 and 462222, that added together give a palindrome (462264).

The spelling of 42462222 in words is "forty-two million, four hundred sixty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 53 61 66 106 122 159 183 199 318 366 398 583 597 671 1166 1194 1342 1749 2013 2189 3233 3498 4026 4378 6466 6567 9699 10547 12139 13134 19398 21094 24278 31641 35563 36417 63282 71126 72834 106689 116017 133529 213378 232034 267058 348051 400587 643367 696102 801174 1286734 1930101 3860202 7077037 14154074 21231111 42462222