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4238424 = 233237243
BaseRepresentation
bin10000001010110001011000
321222100000200
4100022301120
52041112144
6230502200
751011631
oct20126130
97870020
104238424
112435433
121504960
13b55258
147c4888
1558ac69
hex40ac58

4238424 has 72 divisors (see below), whose sum is σ = 12072060. Its totient is φ = 1342656.

The previous prime is 4238407. The next prime is 4238431. The reversal of 4238424 is 4248324.

It is a happy number.

4238424 is a `hidden beast` number, since 4 + 238 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 98547 + ... + 98589.

Almost surely, 24238424 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 4238424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6036030).

4238424 is an abundant number, since it is smaller than the sum of its proper divisors (7833636).

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

4238424 is a wasteful number, since it uses less digits than its factorization.

4238424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 85 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 4238424 is about 2058.7433060000. The cubic root of 4238424 is about 161.8333906659.

The spelling of 4238424 in words is "four million, two hundred thirty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 43 72 74 86 111 129 148 172 222 258 296 333 344 387 444 516 666 774 888 1032 1332 1369 1548 1591 2664 2738 3096 3182 4107 4773 5476 6364 8214 9546 10952 12321 12728 14319 16428 19092 24642 28638 32856 38184 49284 57276 58867 98568 114552 117734 176601 235468 353202 470936 529803 706404 1059606 1412808 2119212 4238424