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4142500 = 22541657
BaseRepresentation
bin1111110011010110100100
321210110102221
433303112210
52030030000
6224442124
750132155
oct17632644
97713387
104142500
11237a35a
121479344
13b206ab
1479b92c
1556c61a
hex3f35a4

4142500 has 30 divisors (see below), whose sum is σ = 9064286. Its totient is φ = 1656000.

The previous prime is 4142497. The next prime is 4142519. The reversal of 4142500 is 52414.

It can be written as a sum of positive squares in 5 ways, for example, as 2005056 + 2137444 = 1416^2 + 1462^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1672 + ... + 3328.

Almost surely, 24142500 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 4142500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4532143).

4142500 is an abundant number, since it is smaller than the sum of its proper divisors (4921786).

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

4142500 is a wasteful number, since it uses less digits than its factorization.

4142500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 4142500 is about 2035.3132437048. The cubic root of 4142500 is about 160.6031918895.

Adding to 4142500 its reverse (52414), we get a palindrome (4194914).

The spelling of 4142500 in words is "four million, one hundred forty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 1657 2500 3314 6628 8285 16570 33140 41425 82850 165700 207125 414250 828500 1035625 2071250 4142500