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4229442 = 233767167
BaseRepresentation
bin10000001000100101000010
321221212201000
4100020211002
52040320232
6230352430
750643510
oct20104502
97855630
104229442
112429708
1214bb716
13b51139
147c14b0
1558827c
hex408942

4229442 has 64 divisors (see below), whose sum is σ = 10967040. Its totient is φ = 1183248.

The previous prime is 4229441. The next prime is 4229443. The reversal of 4229442 is 2449224.

It is an interprime number because it is at equal distance from previous prime (4229441) and next prime (4229443).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4229441) 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, 25243 + ... + 25409.

It is an arithmetic number, because the mean of its divisors is an integer number (171360).

Almost surely, 24229442 is an apocalyptic number.

4229442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4229442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5483520).

4229442 is an abundant number, since it is smaller than the sum of its proper divisors (6737598).

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

4229442 is a wasteful number, since it uses less digits than its factorization.

4229442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 246 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 4229442 is about 2056.5607212042. The cubic root of 4229442 is about 161.7189915770.

The spelling of 4229442 in words is "four million, two hundred twenty-nine thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 67 126 134 167 189 201 334 378 402 469 501 603 938 1002 1169 1206 1407 1503 1809 2338 2814 3006 3507 3618 4221 4509 7014 8442 9018 10521 11189 12663 21042 22378 25326 31563 33567 63126 67134 78323 100701 156646 201402 234969 302103 469938 604206 704907 1409814 2114721 4229442