Search a number
-
+
4141935 = 3557487
BaseRepresentation
bin1111110011001101101111
321210102200000
433303031233
52030020220
6224435343
750130420
oct17631557
97712600
104141935
112379996
121478b53
13b20365
1479b647
1556c390
hex3f336f

4141935 has 48 divisors (see below), whose sum is σ = 8526336. Its totient is φ = 1889568.

The previous prime is 4141919. The next prime is 4141937. The reversal of 4141935 is 5391414.

It is not a de Polignac number, because 4141935 - 24 = 4141919 is a prime.

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 = 4141899 and 4141908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141937) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8262 + ... + 8748.

It is an arithmetic number, because the mean of its divisors is an integer number (177632).

Almost surely, 24141935 is an apocalyptic number.

4141935 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4141935 is an abundant number, since it is smaller than the sum of its proper divisors (4384401).

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

4141935 is an equidigital number, since it uses as much as digits as its factorization.

4141935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 502 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 4141935 is about 2035.1744396980. The cubic root of 4141935 is about 160.5958899439.

The spelling of 4141935 in words is "four million, one hundred forty-one thousand, nine hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 243 315 405 487 567 945 1215 1461 1701 2435 2835 3409 4383 7305 8505 10227 13149 17045 21915 30681 39447 51135 65745 92043 118341 153405 197235 276129 460215 591705 828387 1380645 4141935