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429904100 = 22524299041
BaseRepresentation
bin11001100111111…
…101000011100100
31002221221101120002
4121213331003210
51340023412400
6110354200432
713440060503
oct3147750344
91087841502
10429904100
1120074034a
12bbb83118
136b0b1a32
144114a83a
1527b1ded5
hex199fd0e4

429904100 has 18 divisors (see below), whose sum is σ = 932892114. Its totient is φ = 171961600.

The previous prime is 429904049. The next prime is 429904117. The reversal of 429904100 is 1409924.

It can be written as a sum of positive squares in 3 ways, for example, as 135163876 + 294740224 = 11626^2 + 17168^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2149421 + ... + 2149620.

Almost surely, 2429904100 is an apocalyptic number.

It is an amenable number.

429904100 is an abundant number, since it is smaller than the sum of its proper divisors (502988014).

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

429904100 is a wasteful number, since it uses less digits than its factorization.

429904100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4299055 (or 4299048 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 429904100 is about 20734.1288700538. The cubic root of 429904100 is about 754.7281157779.

The spelling of 429904100 in words is "four hundred twenty-nine million, nine hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4299041 8598082 17196164 21495205 42990410 85980820 107476025 214952050 429904100