Search a number
-
+
415265052 = 223174314723
BaseRepresentation
bin11000110000000…
…111000100011100
31001221101122120010
4120300013010130
51322301440202
6105112323220
713201460166
oct3060070434
91057348503
10415265052
111a3451864
12b70a3510
1368057787
143d219936
15266cb76c
hex18c0711c

415265052 has 48 divisors (see below), whose sum is σ = 1028547072. Its totient is φ = 129949440.

The previous prime is 415265047. The next prime is 415265077. The reversal of 415265052 is 250562514.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 85563 + ... + 90285.

It is an arithmetic number, because the mean of its divisors is an integer number (21428064).

Almost surely, 2415265052 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 415265052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514273536).

415265052 is an abundant number, since it is smaller than the sum of its proper divisors (613282020).

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

415265052 is a wasteful number, since it uses less digits than its factorization.

415265052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5178 (or 5176 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 415265052 is about 20378.0531945522. The cubic root of 415265052 is about 746.0623565765.

The spelling of 415265052 in words is "four hundred fifteen million, two hundred sixty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 431 862 1293 1724 2586 4723 5172 7327 9446 14169 14654 18892 21981 28338 29308 43962 56676 80291 87924 160582 240873 321164 481746 963492 2035613 4071226 6106839 8142452 12213678 24427356 34605421 69210842 103816263 138421684 207632526 415265052