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4042010 = 257273113
BaseRepresentation
bin1111011010110100011010
321121100121002
433122310122
52013321020
6222345002
746233200
oct17326432
97540532
104042010
112310905
12142b162
13ab6a2b
14773070
1554c975
hex3dad1a

4042010 has 48 divisors (see below), whose sum is σ = 8655336. Its totient is φ = 1354752.

The previous prime is 4042001. The next prime is 4042019. The reversal of 4042010 is 102404.

It is an interprime number because it is at equal distance from previous prime (4042001) and next prime (4042019).

It can be written as a sum of positive squares in 4 ways, for example, as 2140369 + 1901641 = 1463^2 + 1379^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4041982 and 4042000.

It is not an unprimeable number, because it can be changed into a prime (4042019) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 35714 + ... + 35826.

Almost surely, 24042010 is an apocalyptic number.

4042010 is an abundant number, since it is smaller than the sum of its proper divisors (4613326).

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

4042010 is a wasteful number, since it uses less digits than its factorization.

4042010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 4042010 is about 2010.4750682364. The cubic root of 4042010 is about 159.2938936286.

Adding to 4042010 its reverse (102404), we get a palindrome (4144414).

The spelling of 4042010 in words is "four million, forty-two thousand, ten".

Divisors: 1 2 5 7 10 14 35 49 70 73 98 113 146 226 245 365 490 511 565 730 791 1022 1130 1582 2555 3577 3955 5110 5537 7154 7910 8249 11074 16498 17885 27685 35770 41245 55370 57743 82490 115486 288715 404201 577430 808402 2021005 4042010