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4142440 = 235103561
BaseRepresentation
bin1111110011010101101000
321210110100201
433303111220
52030024230
6224441544
750132041
oct17632550
97713321
104142440
11237a305
1214792b4
13b20663
1479b8c8
1556c5ca
hex3f3568

4142440 has 16 divisors (see below), whose sum is σ = 9320580. Its totient is φ = 1656960.

The previous prime is 4142429. The next prime is 4142473. The reversal of 4142440 is 442414.

It can be written as a sum of positive squares in 2 ways, for example, as 3709476 + 432964 = 1926^2 + 658^2 .

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 3 ways as a sum of consecutive naturals, for example, 51741 + ... + 51820.

Almost surely, 24142440 is an apocalyptic number.

4142440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4142440 is an abundant number, since it is smaller than the sum of its proper divisors (5178140).

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

4142440 is a wasteful number, since it uses less digits than its factorization.

4142440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103572 (or 103568 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 4142440 is about 2035.2985039055. The cubic root of 4142440 is about 160.6024164932.

Adding to 4142440 its reverse (442414), we get a palindrome (4584854).

The spelling of 4142440 in words is "four million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 103561 207122 414244 517805 828488 1035610 2071220 4142440