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4019418 = 2321389193
BaseRepresentation
bin1111010101010011011010
321120012121100
433111103122
52012110133
6222052230
746110264
oct17252332
97505540
104019418
1122a5937
12141a076
13aa9670
14768b34
15545e13
hex3d54da

4019418 has 48 divisors (see below), whose sum is σ = 9533160. Its totient is φ = 1216512.

The previous prime is 4019413. The next prime is 4019419. The reversal of 4019418 is 8149104.

It can be written as a sum of positive squares in 4 ways, for example, as 1595169 + 2424249 = 1263^2 + 1557^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4019391 and 4019400.

It is not an unprimeable number, because it can be changed into a prime (4019413) 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, 20730 + ... + 20922.

Almost surely, 24019418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4019418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4766580).

4019418 is an abundant number, since it is smaller than the sum of its proper divisors (5513742).

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

4019418 is a wasteful number, since it uses less digits than its factorization.

4019418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 4019418 is about 2004.8486227144. The cubic root of 4019418 is about 158.9965586059.

The spelling of 4019418 in words is "four million, nineteen thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 89 117 178 193 234 267 386 534 579 801 1157 1158 1602 1737 2314 2509 3471 3474 5018 6942 7527 10413 15054 17177 20826 22581 34354 45162 51531 103062 154593 223301 309186 446602 669903 1339806 2009709 4019418