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4142815 = 51724761
BaseRepresentation
bin1111110011011011011111
321210110212121
433303123133
52030032230
6224443411
750133115
oct17633337
97713777
104142815
11237a616
121479567
13b20891
1479bab5
1556c77a
hex3f36df

4142815 has 24 divisors (see below), whose sum is σ = 5481792. Its totient is φ = 3002880.

The previous prime is 4142813. The next prime is 4142857. The reversal of 4142815 is 5182414.

It is not a de Polignac number, because 4142815 - 21 = 4142813 is a prime.

It is a super-2 number, since 2×41428152 = 34325832248450, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4142815.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67885 + ... + 67945.

It is an arithmetic number, because the mean of its divisors is an integer number (228408).

Almost surely, 24142815 is an apocalyptic number.

4142815 is a deficient number, since it is larger than the sum of its proper divisors (1338977).

4142815 is a wasteful number, since it uses less digits than its factorization.

4142815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 130 counting only the distinct ones).

The product of its digits is 1280, while the sum is 25.

The square root of 4142815 is about 2035.3906258996. The cubic root of 4142815 is about 160.6072625975.

The spelling of 4142815 in words is "four million, one hundred forty-two thousand, eight hundred fifteen".

Divisors: 1 5 17 47 61 85 235 289 305 799 1037 1445 2867 3995 5185 13583 14335 17629 48739 67915 88145 243695 828563 4142815