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427857381 = 32731237191
BaseRepresentation
bin11001100000001…
…001010111100101
31002211002101222200
4121200021113211
51334012414011
6110242245113
713413504420
oct3140112745
91084071880
10427857381
111aa572646
12bb356799
136a846263
1440b769b7
1527867856
hex198095e5

427857381 has 72 divisors (see below), whose sum is σ = 753472512. Its totient is φ = 229003200.

The previous prime is 427857379. The next prime is 427857407. The reversal of 427857381 is 183758724.

427857381 is a `hidden beast` number, since 4 + 2 + 78 + 573 + 8 + 1 = 666.

It is not a de Polignac number, because 427857381 - 21 = 427857379 is a prime.

It is a super-2 number, since 2×4278573812 = 366123876952358322, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427857341) 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 71 ways as a sum of consecutive naturals, for example, 2239996 + ... + 2240186.

It is an arithmetic number, because the mean of its divisors is an integer number (10464896).

Almost surely, 2427857381 is an apocalyptic number.

It is an amenable number.

427857381 is a deficient number, since it is larger than the sum of its proper divisors (325615131).

427857381 is a wasteful number, since it uses less digits than its factorization.

427857381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 269 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 427857381 is about 20684.7137036025. The cubic root of 427857381 is about 753.5284883273.

The spelling of 427857381 in words is "four hundred twenty-seven million, eight hundred fifty-seven thousand, three hundred eighty-one".

Divisors: 1 3 7 9 21 31 37 63 93 111 191 217 259 279 333 573 651 777 961 1147 1337 1719 1953 2331 2883 3441 4011 5921 6727 7067 8029 8649 10323 12033 17763 20181 21201 24087 35557 41447 49469 53289 60543 63603 72261 106671 124341 148407 183551 219077 248899 320013 373023 445221 550653 657231 746697 1284857 1533539 1651959 1971693 2240091 3854571 4600617 6791387 11563713 13801851 20374161 47539709 61122483 142619127 427857381