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405416116 = 22714479147
BaseRepresentation
bin11000001010100…
…010100010110100
31001020212021100201
4120022202202310
51312241303431
6104121250244
713021660120
oct3012424264
91036767321
10405416116
11198935146
12b3933984
1365cb98c1
143bbb4580
15258d3461
hex182a28b4

405416116 has 12 divisors (see below), whose sum is σ = 810832288. Its totient is φ = 173749752.

The previous prime is 405416113. The next prime is 405416149. The reversal of 405416116 is 611614504.

405416116 is an admirable number.

It is a super-2 number, since 2×4054161162 = 328724454225050912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 14479147 = 405416116 / (4 + 0 + 5 + 4 + 1 + 6 + 1 + 1 + 6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405416111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7239546 + ... + 7239601.

Almost surely, 2405416116 is an apocalyptic number.

It is an amenable number.

405416116 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

405416116 is a wasteful number, since it uses less digits than its factorization.

405416116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14479158 (or 14479156 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 405416116 is about 20134.9476284395. The cubic root of 405416116 is about 740.1169257654.

The spelling of 405416116 in words is "four hundred five million, four hundred sixteen thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 14479147 28958294 57916588 101354029 202708058 405416116