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4142432 = 25718493
BaseRepresentation
bin1111110011010101100000
321210110100102
433303111200
52030024212
6224441532
750132030
oct17632540
97713312
104142432
11237a2a8
1214792a8
13b20658
1479b8c0
1556c5c2
hex3f3560

4142432 has 24 divisors (see below), whose sum is σ = 9320976. Its totient is φ = 1775232.

The previous prime is 4142429. The next prime is 4142473. The reversal of 4142432 is 2342414.

4142432 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×41424323 (a number of 21 digits) contains 333 as substring.

4142432 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9023 + ... + 9470.

It is an arithmetic number, because the mean of its divisors is an integer number (388374).

Almost surely, 24142432 is an apocalyptic number.

It is an amenable number.

4142432 is an abundant number, since it is smaller than the sum of its proper divisors (5178544).

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

4142432 is a wasteful number, since it uses less digits than its factorization.

4142432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18510 (or 18502 counting only the distinct ones).

The product of its digits is 768, while the sum is 20.

The square root of 4142432 is about 2035.2965385909. The cubic root of 4142432 is about 160.6023131064.

Adding to 4142432 its reverse (2342414), we get a palindrome (6484846).

The spelling of 4142432 in words is "four million, one hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 18493 36986 73972 129451 147944 258902 295888 517804 591776 1035608 2071216 4142432