Search a number
-
+
406427119 = 7219436549
BaseRepresentation
bin11000001110011…
…001010111101111
31001022202122012021
4120032121113233
51313021131434
6104155051011
713033400500
oct3016312757
91038678167
10406427119
1119946578a
12b4140a67
1366281b27
143bd98ba7
1525a32cb4
hex183995ef

406427119 has 12 divisors (see below), whose sum is σ = 497667000. Its totient is φ = 330030288.

The previous prime is 406427117. The next prime is 406427149. The reversal of 406427119 is 911724604.

It is not a de Polignac number, because 406427119 - 21 = 406427117 is a prime.

It is a super-2 number, since 2×4064271192 = 330366006117280322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406427111) 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 11 ways as a sum of consecutive naturals, for example, 217344 + ... + 219205.

It is an arithmetic number, because the mean of its divisors is an integer number (41472250).

Almost surely, 2406427119 is an apocalyptic number.

406427119 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

406427119 is a deficient number, since it is larger than the sum of its proper divisors (91239881).

406427119 is a wasteful number, since it uses less digits than its factorization.

406427119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436582 (or 436575 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 406427119 is about 20160.0376735759. The cubic root of 406427119 is about 740.7316351744.

The spelling of 406427119 in words is "four hundred six million, four hundred twenty-seven thousand, one hundred nineteen".

Divisors: 1 7 19 49 133 931 436549 3055843 8294431 21390901 58061017 406427119