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429037648 = 24132062681
BaseRepresentation
bin11001100100101…
…001100001010000
31002220022101000021
4121210221201100
51334313201043
6110323433224
713426521424
oct3144514120
91086271007
10429037648
112001a9376
12bb825814
136ab6a540
1440da2b84
15279ec3ed
hex19929850

429037648 has 20 divisors (see below), whose sum is σ = 895203988. Its totient is φ = 198017280.

The previous prime is 429037643. The next prime is 429037663. The reversal of 429037648 is 846730924.

It can be written as a sum of positive squares in 2 ways, for example, as 84860944 + 344176704 = 9212^2 + 18552^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429037643) 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, 1031133 + ... + 1031548.

Almost surely, 2429037648 is an apocalyptic number.

It is an amenable number.

429037648 is an abundant number, since it is smaller than the sum of its proper divisors (466166340).

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

429037648 is a wasteful number, since it uses less digits than its factorization.

429037648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062702 (or 2062696 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The square root of 429037648 is about 20713.2239885538. The cubic root of 429037648 is about 754.2207347878.

The spelling of 429037648 in words is "four hundred twenty-nine million, thirty-seven thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 208 2062681 4125362 8250724 16501448 26814853 33002896 53629706 107259412 214518824 429037648