Search a number
-
+
379468125 = 3354113199
BaseRepresentation
bin10110100111100…
…011100101011101
3222110000222102000
4112213203211131
51234120440000
6101353152513
712255266031
oct2647434535
9873028360
10379468125
11185222023
12a70bb739
136080306a
143857c1c1
15234aa000
hex169e395d

379468125 has 80 divisors (see below), whose sum is σ = 712272000. Its totient is φ = 199584000.

The previous prime is 379468087. The next prime is 379468127. The reversal of 379468125 is 521864973.

It is not a de Polignac number, because 379468125 - 214 = 379451741 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (362880) is a multiple of the sum of its prime divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379468127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1906776 + ... + 1906974.

It is an arithmetic number, because the mean of its divisors is an integer number (8903400).

Almost surely, 2379468125 is an apocalyptic number.

It is an amenable number.

379468125 is a deficient number, since it is larger than the sum of its proper divisors (332803875).

379468125 is a wasteful number, since it uses less digits than its factorization.

379468125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 320 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 379468125 is about 19479.9416066887. The cubic root of 379468125 is about 723.9775520089.

The spelling of 379468125 in words is "three hundred seventy-nine million, four hundred sixty-eight thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 113 125 135 199 225 339 375 565 597 625 675 995 1017 1125 1695 1791 1875 2825 2985 3051 3375 4975 5085 5373 5625 8475 8955 14125 14925 15255 16875 22487 24875 25425 26865 42375 44775 67461 70625 74625 76275 112435 124375 127125 134325 202383 211875 223875 337305 373125 381375 562175 607149 635625 671625 1011915 1119375 1686525 1906875 2810875 3035745 3358125 5059575 8432625 14054375 15178725 25297875 42163125 75893625 126489375 379468125