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429245000 = 23542932
BaseRepresentation
bin11001100101011…
…100001001001000
31002220200220102222
4121211130021020
51334341320000
6110332113212
713431344102
oct3145341110
91086626388
10429245000
11200330138
12bb905808
136ac10a32
1441018572
1527a3da85
hex1995c248

429245000 has 60 divisors (see below), whose sum is σ = 1009165245. Its totient is φ = 171112000.

The previous prime is 429244997. The next prime is 429245027. The reversal of 429245000 is 542924.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 29964676 + 399280324 = 5474^2 + 19982^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=14650.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1464854 + ... + 1465146.

Almost surely, 2429245000 is an apocalyptic number.

429245000 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 429245000

429245000 is an abundant number, since it is smaller than the sum of its proper divisors (579920245).

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

429245000 is an frugal number, since it uses more digits than its factorization.

429245000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 429245000 is about 20718.2286887658. The cubic root of 429245000 is about 754.3422190688.

Adding to 429245000 its reverse (542924), we get a palindrome (429787924).

The spelling of 429245000 in words is "four hundred twenty-nine million, two hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 293 500 586 625 1000 1172 1250 1465 2344 2500 2930 5000 5860 7325 11720 14650 29300 36625 58600 73250 85849 146500 171698 183125 293000 343396 366250 429245 686792 732500 858490 1465000 1716980 2146225 3433960 4292450 8584900 10731125 17169800 21462250 42924500 53655625 85849000 107311250 214622500 429245000