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4042818 = 233132443
BaseRepresentation
bin1111011011000001000010
321121101201000
433123001002
52013332233
6222352430
746235433
oct17330102
97541630
104042818
11231147a
12142b716
13ab7200
1477348a
1554cd13
hex3db042

4042818 has 48 divisors (see below), whose sum is σ = 9750240. Its totient is φ = 1241136.

The previous prime is 4042807. The next prime is 4042823. The reversal of 4042818 is 8182404.

It is a super-2 number, since 2×40428182 = 32688754762248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4042791 and 4042800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8905 + ... + 9347.

It is an arithmetic number, because the mean of its divisors is an integer number (203130).

Almost surely, 24042818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4875120).

4042818 is an abundant number, since it is smaller than the sum of its proper divisors (5707422).

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

4042818 is a wasteful number, since it uses less digits than its factorization.

4042818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 4042818 is about 2010.6760057254. The cubic root of 4042818 is about 159.3045072334.

The spelling of 4042818 in words is "four million, forty-two thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 169 234 338 351 443 507 702 886 1014 1329 1521 2658 3042 3987 4563 5759 7974 9126 11518 11961 17277 23922 34554 51831 74867 103662 149734 155493 224601 310986 449202 673803 1347606 2021409 4042818