Search a number
-
+
411796125 = 32531337761
BaseRepresentation
bin11000100010111…
…000001010011101
31001200212102002100
4120202320022131
51320404434000
6104510115313
713130131536
oct3042701235
91050772070
10411796125
111a14a2584
12b5aabb39
1367411860
143c99568d
1526243a00
hex188b829d

411796125 has 96 divisors (see below), whose sum is σ = 822118752. Its totient is φ = 196992000.

The previous prime is 411796109. The next prime is 411796127. The reversal of 411796125 is 521697114.

It can be written as a sum of positive squares in 16 ways, for example, as 388957284 + 22838841 = 19722^2 + 4779^2 .

It is not a de Polignac number, because 411796125 - 24 = 411796109 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 411796125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411796127) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 540745 + ... + 541505.

It is an arithmetic number, because the mean of its divisors is an integer number (8563737).

Almost surely, 2411796125 is an apocalyptic number.

411796125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

411796125 is a deficient number, since it is larger than the sum of its proper divisors (410322627).

411796125 is a wasteful number, since it uses less digits than its factorization.

411796125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 819 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 411796125 is about 20292.7604085792. The cubic root of 411796125 is about 743.9791281432.

The spelling of 411796125 in words is "four hundred eleven million, seven hundred ninety-six thousand, one hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 37 39 45 65 75 111 117 125 185 195 225 325 333 375 481 555 585 761 925 975 1125 1443 1625 1665 2283 2405 2775 2925 3805 4329 4625 4875 6849 7215 8325 9893 11415 12025 13875 14625 19025 21645 28157 29679 34245 36075 41625 49465 57075 60125 84471 89037 95125 108225 140785 148395 171225 180375 247325 253413 285375 366041 422355 445185 541125 703925 741975 856125 1098123 1236625 1267065 1830205 2111775 2225925 3294369 3519625 3709875 5490615 6335325 9151025 10558875 11129625 16471845 27453075 31676625 45755125 82359225 137265375 411796125