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429511149 = 32163729153
BaseRepresentation
bin11001100110011…
…101000111101101
31002221012102112100
4121212131013231
51334423324044
6110341525313
713433533044
oct3146350755
91087172470
10429511149
112004a20a1
12bba13839
136aca4c12
144108755b
1527a92869
hex1999d1ed

429511149 has 12 divisors (see below), whose sum is σ = 620805276. Its totient is φ = 286156032.

The previous prime is 429511129. The next prime is 429511151. The reversal of 429511149 is 941115924.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9548100 + 419963049 = 3090^2 + 20493^2 .

It is not a de Polignac number, because 429511149 - 216 = 429445613 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429511109) 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, 157 + ... + 29309.

It is an arithmetic number, because the mean of its divisors is an integer number (51733773).

Almost surely, 2429511149 is an apocalyptic number.

It is an amenable number.

429511149 is a deficient number, since it is larger than the sum of its proper divisors (191294127).

429511149 is a wasteful number, since it uses less digits than its factorization.

429511149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30796 (or 30793 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 429511149 is about 20724.6507570092. The cubic root of 429511149 is about 754.4980942659.

It can be divided in two parts, 42951 and 1149, that added together give a square (44100 = 2102).

The spelling of 429511149 in words is "four hundred twenty-nine million, five hundred eleven thousand, one hundred forty-nine".

Divisors: 1 3 9 1637 4911 14733 29153 87459 262377 47723461 143170383 429511149