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429416149 = 617321321
BaseRepresentation
bin11001100110000…
…101111011010101
31002221000121012211
4121212011323111
51334412304044
6110335513421
713432656061
oct3146057325
91087017184
10429416149
11200437788
12bb988871
136ac708c6
1441060aa1
1527a74634
hex19985ed5

429416149 has 12 divisors (see below), whose sum is σ = 442851492. Its totient is φ = 416275200.

The previous prime is 429416087. The next prime is 429416161. The reversal of 429416149 is 941614924.

It can be written as a sum of positive squares in 6 ways, for example, as 180625 + 429235524 = 425^2 + 20718^2 .

It is a de Polignac number, because none of the positive numbers 2k-429416149 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429416179) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 324409 + ... + 325729.

It is an arithmetic number, because the mean of its divisors is an integer number (36904291).

Almost surely, 2429416149 is an apocalyptic number.

It is an amenable number.

429416149 is a deficient number, since it is larger than the sum of its proper divisors (13435343).

429416149 is an equidigital number, since it uses as much as digits as its factorization.

429416149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 1455 counting only the distinct ones).

The product of its digits is 62208, while the sum is 40.

The square root of 429416149 is about 20722.3586736645. The cubic root of 429416149 is about 754.4424631107.

The spelling of 429416149 in words is "four hundred twenty-nine million, four hundred sixteen thousand, one hundred forty-nine".

Divisors: 1 61 73 1321 4453 5329 80581 96433 325069 5882413 7039609 429416149