Search a number
-
+
415550044 = 227132137641
BaseRepresentation
bin11000110001001…
…100101001011100
31001221221010111101
4120301030221130
51322340100134
6105122402444
713204055110
oct3061145134
91057833441
10415550044
111a3626998
12b7200424
1368127400
143d291740
1526735e14
hex18c4ca5c

415550044 has 72 divisors (see below), whose sum is σ = 907931808. Its totient is φ = 162938880.

The previous prime is 415549999. The next prime is 415550053. The reversal of 415550044 is 440055514.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 415549994 and 415550021.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 647964 + ... + 648604.

It is an arithmetic number, because the mean of its divisors is an integer number (12610164).

Almost surely, 2415550044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415550044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453965904).

415550044 is an abundant number, since it is smaller than the sum of its proper divisors (492381764).

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

415550044 is a wasteful number, since it uses less digits than its factorization.

415550044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 28.

The square root of 415550044 is about 20385.0446160905. The cubic root of 415550044 is about 746.2329891084.

The spelling of 415550044 in words is "four hundred fifteen million, five hundred fifty thousand, forty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 137 169 182 274 338 364 548 641 676 959 1183 1282 1781 1918 2366 2564 3562 3836 4487 4732 7124 8333 8974 12467 16666 17948 23153 24934 33332 46306 49868 58331 87817 92612 108329 116662 162071 175634 216658 233324 324142 351268 433316 614719 648284 758303 1141621 1229438 1516606 2283242 2458876 3033212 4566484 7991347 14841073 15982694 29682146 31965388 59364292 103887511 207775022 415550044