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4142232 = 2333127151
BaseRepresentation
bin1111110011010010011000
321210110002000
433303102120
52030022412
6224441000
750131323
oct17632230
97713060
104142232
11237a136
121479160
13b20533
1479b7ba
1556c4dc
hex3f3498

4142232 has 64 divisors (see below), whose sum is σ = 11673600. Its totient is φ = 1360800.

The previous prime is 4142227. The next prime is 4142267. The reversal of 4142232 is 2322414.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27357 + ... + 27507.

It is an arithmetic number, because the mean of its divisors is an integer number (182400).

Almost surely, 24142232 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 4142232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5836800).

4142232 is an abundant number, since it is smaller than the sum of its proper divisors (7531368).

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

4142232 is a wasteful number, since it uses less digits than its factorization.

4142232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 283 counting only the distinct ones).

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

The square root of 4142232 is about 2035.2474051083. The cubic root of 4142232 is about 160.5997283946.

Adding to 4142232 its reverse (2322414), we get a palindrome (6464646).

The spelling of 4142232 in words is "four million, one hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 127 151 216 254 302 381 453 508 604 762 906 1016 1143 1208 1359 1524 1812 2286 2718 3048 3429 3624 4077 4572 5436 6858 8154 9144 10872 13716 16308 19177 27432 32616 38354 57531 76708 115062 153416 172593 230124 345186 460248 517779 690372 1035558 1380744 2071116 4142232