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4237422 = 23732971
BaseRepresentation
bin10000001010100001101110
321222021122120
4100022201232
52041044142
6230453410
751006000
oct20124156
97867576
104237422
112434702
121504266
13b54967
147c4370
1558a7ec
hex40a86e

4237422 has 64 divisors (see below), whose sum is σ = 10368000. Its totient is φ = 1152480.

The previous prime is 4237417. The next prime is 4237423. The reversal of 4237422 is 2247324.

Its product of digits (2688) is a multiple of the sum of its prime divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 4237392 and 4237401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4237423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59647 + ... + 59717.

It is an arithmetic number, because the mean of its divisors is an integer number (162000).

Almost surely, 24237422 is an apocalyptic number.

4237422 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a pronic number, being equal to 2058×2059.

It is a practical number, because each smaller number is the sum of distinct divisors of 4237422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184000).

4237422 is an abundant number, since it is smaller than the sum of its proper divisors (6130578).

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

4237422 is a wasteful number, since it uses less digits than its factorization.

4237422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

The product of its digits is 2688, while the sum is 24.

The square root of 4237422 is about 2058.4999392762. The cubic root of 4237422 is about 161.8206367243.

The spelling of 4237422 in words is "four million, two hundred thirty-seven thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 29 42 49 58 71 87 98 142 147 174 203 213 294 343 406 426 497 609 686 994 1029 1218 1421 1491 2058 2059 2842 2982 3479 4118 4263 6177 6958 8526 9947 10437 12354 14413 19894 20874 24353 28826 29841 43239 48706 59682 73059 86478 100891 146118 201782 302673 605346 706237 1412474 2118711 4237422