Search a number
-
+
41125770 = 23257292251
BaseRepresentation
bin1001110011100…
…0011110001010
32212101101221200
42130320132022
541012011040
64025245030
71006364130
oct234703612
985341850
1041125770
112123a444
1211933776
13869c09a
145667750
153925630
hex273878a

41125770 has 96 divisors (see below), whose sum is σ = 126472320. Its totient is φ = 9072000.

The previous prime is 41125751. The next prime is 41125789. The reversal of 41125770 is 7752114.

41125770 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41125751) and next prime (41125789).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17145 + ... + 19395.

It is an arithmetic number, because the mean of its divisors is an integer number (1317420).

Almost surely, 241125770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41125770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63236160).

41125770 is an abundant number, since it is smaller than the sum of its proper divisors (85346550).

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

41125770 is a wasteful number, since it uses less digits than its factorization.

41125770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 41125770 is about 6412.9377043598. The cubic root of 41125770 is about 345.1739513452.

Adding to 41125770 its reverse (7752114), we get a palindrome (48877884).

The spelling of 41125770 in words is "forty-one million, one hundred twenty-five thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 29 30 35 42 45 58 63 70 87 90 105 126 145 174 203 210 261 290 315 406 435 522 609 630 870 1015 1218 1305 1827 2030 2251 2610 3045 3654 4502 6090 6753 9135 11255 13506 15757 18270 20259 22510 31514 33765 40518 47271 65279 67530 78785 94542 101295 130558 141813 157570 195837 202590 236355 283626 326395 391674 456953 472710 587511 652790 709065 913906 979185 1175022 1370859 1418130 1958370 2284765 2741718 2937555 4112577 4569530 5875110 6854295 8225154 13708590 20562885 41125770