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429876252 = 223213918539
BaseRepresentation
bin11001100111110…
…110010000011100
31002221212222100200
4121213312100130
51340022020002
6110353423500
713436613351
oct3147662034
91087788320
10429876252
11200721433
12bbb6ab90
136b0a2160
1441140628
1527b15b1c
hex199f641c

429876252 has 36 divisors (see below), whose sum is σ = 1170219960. Its totient is φ = 132269472.

The previous prime is 429876179. The next prime is 429876353. The reversal of 429876252 is 252678924.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 429876198 and 429876207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 458802 + ... + 459737.

It is an arithmetic number, because the mean of its divisors is an integer number (32506110).

Almost surely, 2429876252 is an apocalyptic number.

It is an amenable number.

429876252 is an abundant number, since it is smaller than the sum of its proper divisors (740343708).

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

429876252 is a wasteful number, since it uses less digits than its factorization.

429876252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918562 (or 918557 counting only the distinct ones).

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

The square root of 429876252 is about 20733.4573093828. The cubic root of 429876252 is about 754.7118190252.

It can be divided in two parts, 429876 and 252, that added together give a triangular number (430128 = T927).

The spelling of 429876252 in words is "four hundred twenty-nine million, eight hundred seventy-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 918539 1837078 2755617 3674156 5511234 8266851 11022468 11941007 16533702 23882014 33067404 35823021 47764028 71646042 107469063 143292084 214938126 429876252