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429900040 = 23537290473
BaseRepresentation
bin11001100111111…
…100000100001000
31002221221011222201
4121213330010020
51340023300130
6110354125544
713440042613
oct3147740410
91087834881
10429900040
11200738299
12bbb808b4
136b0acc2b
144114917a
1527b1cbca
hex199fc108

429900040 has 32 divisors (see below), whose sum is σ = 993421080. Its totient is φ = 167311872.

The previous prime is 429900017. The next prime is 429900041. The reversal of 429900040 is 40009924.

It can be written as a sum of positive squares in 4 ways, for example, as 359709156 + 70190884 = 18966^2 + 8378^2 .

It is a junction number, because it is equal to n+sod(n) for n = 429899981 and 429900008.

It is not an unprimeable number, because it can be changed into a prime (429900041) 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 7 ways as a sum of consecutive naturals, for example, 143757 + ... + 146716.

Almost surely, 2429900040 is an apocalyptic number.

429900040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

429900040 is an abundant number, since it is smaller than the sum of its proper divisors (563521040).

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

429900040 is a wasteful number, since it uses less digits than its factorization.

429900040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290521 (or 290517 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 429900040 is about 20734.0309636115. The cubic root of 429900040 is about 754.7257398947.

Adding to 429900040 its reverse (40009924), we get a palindrome (469909964).

The spelling of 429900040 in words is "four hundred twenty-nine million, nine hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 290473 580946 1161892 1452365 2323784 2904730 5809460 10747501 11618920 21495002 42990004 53737505 85980008 107475010 214950020 429900040