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4031828361 = 3211113383941
BaseRepresentation
bin1111000001010000…
…1101000110001001
3101101222121002202100
43300110031012021
531224122001421
61504024024013
7201624655431
oct36024150611
911358532670
104031828361
111789953360
12946302009
134c33b6972
142a367b2c1
15188e60c26
hexf050d189

4031828361 has 48 divisors (see below), whose sum is σ = 6432970752. Its totient is φ = 2413017600.

The previous prime is 4031828351. The next prime is 4031828369. The reversal of 4031828361 is 1638281304.

4031828361 is a `hidden beast` number, since 4 + 0 + 318 + 283 + 61 = 666.

4031828361 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4031828361 - 229 = 3494957449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4031828369) 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 47 ways as a sum of consecutive naturals, for example, 4284151 + ... + 4285091.

It is an arithmetic number, because the mean of its divisors is an integer number (134020224).

Almost surely, 24031828361 is an apocalyptic number.

It is an amenable number.

4031828361 is a deficient number, since it is larger than the sum of its proper divisors (2401142391).

4031828361 is a wasteful number, since it uses less digits than its factorization.

4031828361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4031828361 is about 63496.6799210793. The cubic root of 4031828361 is about 1591.6002981357.

The spelling of 4031828361 in words is "four billion, thirty-one million, eight hundred twenty-eight thousand, three hundred sixty-one".

Divisors: 1 3 9 11 33 99 113 339 383 941 1017 1149 1243 2823 3447 3729 4213 8469 10351 11187 12639 31053 37917 43279 93159 106333 129837 318999 360403 389511 476069 956997 1081209 1169663 1428207 3243627 3508989 3964433 4284621 10526967 11893299 35679897 40725539 122176617 366529851 447980929 1343942787 4031828361