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4141287 = 34294143
BaseRepresentation
bin1111110011000011100111
321210101210000
433303003213
52030010122
6224432343
750125503
oct17630347
97711700
104141287
112379457
1214786b3
13b1cc87
1479b303
1556c0ac
hex3f30e7

4141287 has 40 divisors (see below), whose sum is σ = 6708240. Its totient is φ = 2540160.

The previous prime is 4141283. The next prime is 4141289. The reversal of 4141287 is 7821414.

It is not a de Polignac number, because 4141287 - 22 = 4141283 is a prime.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 4141287.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141283) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 96288 + ... + 96330.

It is an arithmetic number, because the mean of its divisors is an integer number (167706).

Almost surely, 24141287 is an apocalyptic number.

4141287 is a deficient number, since it is larger than the sum of its proper divisors (2566953).

4141287 is a wasteful number, since it uses less digits than its factorization.

4141287 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 116 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 4141287 is about 2035.0152333582. The cubic root of 4141287 is about 160.5875145055.

It can be divided in two parts, 41 and 41287, that added together give a triangular number (41328 = T287).

The spelling of 4141287 in words is "four million, one hundred forty-one thousand, two hundred eighty-seven".

Divisors: 1 3 9 27 29 41 43 81 87 123 129 261 369 387 783 1107 1161 1189 1247 1763 2349 3321 3483 3567 3741 5289 10701 11223 15867 32103 33669 47601 51127 96309 101007 142803 153381 460143 1380429 4141287