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4241916 = 2233731181
BaseRepresentation
bin10000001011100111111100
321222111211000
4100023213330
52041220131
6230530300
751025050
oct20134774
97874730
104241916
112438018
121506990
13b56a13
147c5c60
1558bce6
hex40b9fc

4241916 has 96 divisors (see below), whose sum is σ = 13045760. Its totient is φ = 1166400.

The previous prime is 4241903. The next prime is 4241929. The reversal of 4241916 is 6191424.

It is an interprime number because it is at equal distance from previous prime (4241903) and next prime (4241929).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4241916.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23346 + ... + 23526.

Almost surely, 24241916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4241916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6522880).

4241916 is an abundant number, since it is smaller than the sum of its proper divisors (8803844).

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

4241916 is a wasteful number, since it uses less digits than its factorization.

4241916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 224 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 4241916 is about 2059.5912215777. The cubic root of 4241916 is about 161.8778228316.

The spelling of 4241916 in words is "four million, two hundred forty-one thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 84 93 108 124 126 181 186 189 217 252 279 362 372 378 434 543 558 651 724 756 837 868 1086 1116 1267 1302 1629 1674 1953 2172 2534 2604 3258 3348 3801 3906 4887 5068 5611 5859 6516 7602 7812 9774 11222 11403 11718 15204 16833 19548 22444 22806 23436 33666 34209 39277 45612 50499 67332 68418 78554 100998 117831 136836 151497 157108 201996 235662 302994 353493 471324 605988 706986 1060479 1413972 2120958 4241916