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429885045 = 3259553001
BaseRepresentation
bin11001100111111…
…000011001110101
31002221220102102100
4121213320121311
51340022310140
6110353532313
713436651112
oct3147703165
91087812370
10429885045
11200727aa7
12bbb74099
136b0a6165
1441143909
1527b18530
hex199f8675

429885045 has 12 divisors (see below), whose sum is σ = 745134156. Its totient is φ = 229272000.

The previous prime is 429885031. The next prime is 429885047. The reversal of 429885045 is 540588924.

It can be written as a sum of positive squares in 2 ways, for example, as 44116164 + 385768881 = 6642^2 + 19641^2 .

It is not a de Polignac number, because 429885045 - 226 = 362776181 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 9553001 = 429885045 / (4 + 2 + 9 + 8 + 8 + 5 + 0 + 4 + 5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429885047) 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, 4776456 + ... + 4776545.

It is an arithmetic number, because the mean of its divisors is an integer number (62094513).

Almost surely, 2429885045 is an apocalyptic number.

429885045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

429885045 is a deficient number, since it is larger than the sum of its proper divisors (315249111).

429885045 is a wasteful number, since it uses less digits than its factorization.

429885045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9553012 (or 9553009 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 429885045 is about 20733.6693568698. The cubic root of 429885045 is about 754.7169647974.

The spelling of 429885045 in words is "four hundred twenty-nine million, eight hundred eighty-five thousand, forty-five".

Divisors: 1 3 5 9 15 45 9553001 28659003 47765005 85977009 143295015 429885045