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16428413 = 29412337
BaseRepresentation
bin111110101010…
…110101111101
31010220122112202
4332222311331
513201202123
61344041245
7256432151
oct76526575
933818482
1016428413
119300a01
125603225
133532871
142279061
151697a28
hexfaad7d

16428413 has 12 divisors (see below), whose sum is σ = 17471220. Its totient is φ = 15429120.

The previous prime is 16428403. The next prime is 16428437. The reversal of 16428413 is 31482461.

It can be written as a sum of positive squares in 6 ways, for example, as 6360484 + 10067929 = 2522^2 + 3173^2 .

It is not a de Polignac number, because 16428413 - 28 = 16428157 is a prime.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16428403) 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, 48581 + ... + 48917.

It is an arithmetic number, because the mean of its divisors is an integer number (1455935).

Almost surely, 216428413 is an apocalyptic number.

It is an amenable number.

16428413 is a deficient number, since it is larger than the sum of its proper divisors (1042807).

16428413 is an equidigital number, since it uses as much as digits as its factorization.

16428413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 407 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 16428413 is about 4053.1978732847. The cubic root of 16428413 is about 254.2134574908.

The spelling of 16428413 in words is "sixteen million, four hundred twenty-eight thousand, four hundred thirteen".

Divisors: 1 29 41 337 1189 1681 9773 13817 48749 400693 566497 16428413