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406707889 = 72432672
BaseRepresentation
bin11000001111011…
…101111010110001
31001100021220100011
4120033131322301
51313104123024
6104205054521
713035650200
oct3017357261
91040256304
10406707889
11199637725
12b4257441
136634c873
143c02d237
1525a8b094
hex183ddeb1

406707889 has 27 divisors (see below), whose sum is σ = 491704857. Its totient is φ = 335417544.

The previous prime is 406707887. The next prime is 406707907. The reversal of 406707889 is 988707604.

The square root of 406707889 is 20167.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 406707889 - 21 = 406707887 is a prime.

It is a super-2 number, since 2×4067078892 = 330822613949672642, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (406707887) 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 26 ways as a sum of consecutive naturals, for example, 6070234 + ... + 6070300.

It is an arithmetic number, because the mean of its divisors is an integer number (18211291).

Almost surely, 2406707889 is an apocalyptic number.

406707889 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

406707889 is the 20167-th square number.

406707889 is the 10084-th centered octagonal number.

It is an amenable number.

406707889 is a deficient number, since it is larger than the sum of its proper divisors (84996968).

406707889 is an frugal number, since it uses more digits than its factorization.

406707889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 49.

The cubic root of 406707889 is about 740.9021678795.

Multiplying 406707889 by its sum of digits (49), we get a square (19928686561 = 1411692).

406707889 divided by its sum of digits (49) gives a square (8300161 = 28812).

The spelling of 406707889 in words is "four hundred six million, seven hundred seven thousand, eight hundred eighty-nine".

Divisors: 1 7 43 49 67 301 469 1849 2107 2881 3283 4489 12943 20167 31423 90601 123883 141169 193027 219961 867181 1351189 6070267 8300161 9458323 58101127 406707889