Search a number
-
+
41131395 = 35597349
BaseRepresentation
bin1001110011100…
…1110110000011
32212101200200000
42130321312003
541012201040
64025331043
71006416414
oct234716603
985350600
1041131395
1121243698
1211936a83
1386a1806
14566980b
153927130
hex2739d83

41131395 has 48 divisors (see below), whose sum is σ = 74911200. Its totient is φ = 21648384.

The previous prime is 41131393. The next prime is 41131411. The reversal of 41131395 is 59313114.

It is not a de Polignac number, because 41131395 - 21 = 41131393 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (41131393) 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, 117681 + ... + 118029.

It is an arithmetic number, because the mean of its divisors is an integer number (1560650).

Almost surely, 241131395 is an apocalyptic number.

41131395 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

41131395 is a deficient number, since it is larger than the sum of its proper divisors (33779805).

41131395 is an equidigital number, since it uses as much as digits as its factorization.

41131395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 454 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 41131395 is about 6413.3762559201. The cubic root of 41131395 is about 345.1896877473.

41131395 divided by its sum of digits (27) gives a triangular number (1523385 = T1745).

The spelling of 41131395 in words is "forty-one million, one hundred thirty-one thousand, three hundred ninety-five".

Divisors: 1 3 5 9 15 27 45 81 97 135 243 291 349 405 485 873 1047 1215 1455 1745 2619 3141 4365 5235 7857 9423 13095 15705 23571 28269 33853 39285 47115 84807 101559 117855 141345 169265 304677 424035 507795 914031 1523385 2742093 4570155 8226279 13710465 41131395