| Base | Representation |
|---|---|
| bin | 11001100110011… |
| … | …110000010101000 |
| 3 | 1002221012121201000 |
| 4 | 121212132002220 |
| 5 | 1334423434140 |
| 6 | 110341555000 |
| 7 | 13433550042 |
| oct | 3146360250 |
| 9 | 1087177630 |
| 10 | 429514920 |
| 11 | 2004a4a0a |
| 12 | bba15a60 |
| 13 | 6aca6853 |
| 14 | 41088a92 |
| 15 | 27a93a30 |
| hex | 1999e0a8 |
429514920 has 128 divisors (see below), whose sum is σ = 1478016000. Its totient is φ = 110833920.
The previous prime is 429514913. The next prime is 429514927. The reversal of 429514920 is 29415924.
It is an interprime number because it is at equal distance from previous prime (429514913) and next prime (429514927).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (429514927) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27066 + ... + 39894.
It is an arithmetic number, because the mean of its divisors is an integer number (11547000).
Almost surely, 2429514920 is an apocalyptic number.
429514920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 429514920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739008000).
429514920 is an abundant number, since it is smaller than the sum of its proper divisors (1048501080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
429514920 is a wasteful number, since it uses less digits than its factorization.
429514920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12880 (or 12870 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 36.
The square root of 429514920 is about 20724.7417354234. The cubic root of 429514920 is about 754.5003023607.
The spelling of 429514920 in words is "four hundred twenty-nine million, five hundred fourteen thousand, nine hundred twenty".
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