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429687045 = 3359473361
BaseRepresentation
bin11001100111001…
…000000100000101
31002221112100211000
4121213020010011
51334444441140
6110345403513
713435164624
oct3147100405
91087470730
10429687045
11200602267
12bba99599
136b036cb8
14410d16bb
1527ac9a30
hex199c8105

429687045 has 32 divisors (see below), whose sum is σ = 764922240. Its totient is φ = 228856320.

The previous prime is 429687043. The next prime is 429687079. The reversal of 429687045 is 540786924.

It is a happy number.

It is not a de Polignac number, because 429687045 - 21 = 429687043 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429687043) 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 31 ways as a sum of consecutive naturals, for example, 126165 + ... + 129525.

It is an arithmetic number, because the mean of its divisors is an integer number (23903820).

Almost surely, 2429687045 is an apocalyptic number.

429687045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

429687045 is a deficient number, since it is larger than the sum of its proper divisors (335235195).

429687045 is a wasteful number, since it uses less digits than its factorization.

429687045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4322 (or 4316 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 429687045 is about 20728.8939647054. The cubic root of 429687045 is about 754.6010757482.

The spelling of 429687045 in words is "four hundred twenty-nine million, six hundred eighty-seven thousand, forty-five".

Divisors: 1 3 5 9 15 27 45 135 947 2841 3361 4735 8523 10083 14205 16805 25569 30249 42615 50415 90747 127845 151245 453735 3182867 9548601 15914335 28645803 47743005 85937409 143229015 429687045