Search a number
-
+
409133241 = 33111377553
BaseRepresentation
bin11000011000101…
…110000010111001
31001111212010022000
4120120232002321
51314214230431
6104333051213
713065401166
oct3030560271
91044763260
10409133241
1119aa43950
12b5026b09
13669bb79a
143c4a106d
1525db99e6
hex1862e0b9

409133241 has 16 divisors (see below), whose sum is σ = 661225920. Its totient is φ = 247959360.

The previous prime is 409133233. The next prime is 409133243. The reversal of 409133241 is 142331904.

409133241 is a `hidden beast` number, since 409 + 13 + 3 + 241 = 666.

It is not a de Polignac number, because 409133241 - 23 = 409133233 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 (409133243) 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 15 ways as a sum of consecutive naturals, for example, 688480 + ... + 689073.

It is an arithmetic number, because the mean of its divisors is an integer number (41326620).

Almost surely, 2409133241 is an apocalyptic number.

It is an amenable number.

409133241 is a deficient number, since it is larger than the sum of its proper divisors (252092679).

409133241 is a wasteful number, since it uses less digits than its factorization.

409133241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377573 (or 1377567 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 409133241 is about 20227.0423196275. The cubic root of 409133241 is about 742.3720093639.

The spelling of 409133241 in words is "four hundred nine million, one hundred thirty-three thousand, two hundred forty-one".

Divisors: 1 3 9 11 27 33 99 297 1377553 4132659 12397977 15153083 37193931 45459249 136377747 409133241