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4242432 = 21031381
BaseRepresentation
bin10000001011110000000000
321222112112010
4100023300000
52041224212
6230532520
751026415
oct20136000
97875463
104242432
112438447
121507140
13b5701c
147c610c
1558c03c
hex40bc00

4242432 has 44 divisors (see below), whose sum is σ = 11315816. Its totient is φ = 1413120.

The previous prime is 4242421. The next prime is 4242437. The reversal of 4242432 is 2342424.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4242399 and 4242408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4242437) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2382 + ... + 3762.

Almost surely, 24242432 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 4242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5657908).

4242432 is an abundant number, since it is smaller than the sum of its proper divisors (7073384).

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

4242432 is a wasteful number, since it uses less digits than its factorization.

4242432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1386 counting only the distinct ones).

The product of its digits is 1536, while the sum is 21.

The square root of 4242432 is about 2059.7164853445. The cubic root of 4242432 is about 161.8843863412.

Adding to 4242432 its reverse (2342424), we get a palindrome (6584856).

The spelling of 4242432 in words is "four million, two hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1381 1536 2762 3072 4143 5524 8286 11048 16572 22096 33144 44192 66288 88384 132576 176768 265152 353536 530304 707072 1060608 1414144 2121216 4242432