Search a number
-
+
415338550 = 252113792
BaseRepresentation
bin11000110000011…
…001000000110110
31001221112101101021
4120300121000312
51322311313200
6105114051354
713202214364
oct3060310066
91057471337
10415338550
111a34a2000
12b7119b5a
1368082073
143d238634
15266e341a
hex18c19036

415338550 has 72 divisors (see below), whose sum is σ = 860616792. Its totient is φ = 149120400.

The previous prime is 415338541. The next prime is 415338559. The reversal of 415338550 is 55833514.

It is an interprime number because it is at equal distance from previous prime (415338541) and next prime (415338559).

It is a super-2 number, since 2×4153385502 = 345012222232205000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415338559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5257411 + ... + 5257489.

It is an arithmetic number, because the mean of its divisors is an integer number (11953011).

Almost surely, 2415338550 is an apocalyptic number.

415338550 is an abundant number, since it is smaller than the sum of its proper divisors (445278242).

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

415338550 is an equidigital number, since it uses as much as digits as its factorization.

415338550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The square root of 415338550 is about 20379.8564764328. The cubic root of 415338550 is about 746.1063693150.

The spelling of 415338550 in words is "four hundred fifteen million, three hundred thirty-eight thousand, five hundred fifty".

Divisors: 1 2 5 10 11 22 25 50 55 79 110 121 158 242 275 395 550 605 790 869 1210 1331 1738 1975 2662 3025 3950 4345 6050 6241 6655 8690 9559 12482 13310 19118 21725 31205 33275 43450 47795 62410 66550 68651 95590 105149 137302 156025 210298 238975 312050 343255 477950 525745 686510 755161 1051490 1510322 1716275 2628725 3432550 3775805 5257450 7551610 8306771 16613542 18879025 37758050 41533855 83067710 207669275 415338550