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10418429 = 72892389
BaseRepresentation
bin100111101111…
…100011111101
3201121022101202
4213233203331
510131342204
61011145245
7154361300
oct47574375
921538352
1010418429
11597657a
1235a5225
13220a168
141552b37
15dabe1e
hex9ef8fd

10418429 has 12 divisors (see below), whose sum is σ = 12260700. Its totient is φ = 8826048.

The previous prime is 10418393. The next prime is 10418431. The reversal of 10418429 is 92481401.

It can be written as a sum of positive squares in 2 ways, for example, as 2181529 + 8236900 = 1477^2 + 2870^2 .

It is not a de Polignac number, because 10418429 - 216 = 10352893 is a prime.

It is a super-3 number, since 3×104184293 (a number of 22 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10418489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3167 + ... + 5555.

It is an arithmetic number, because the mean of its divisors is an integer number (1021725).

Almost surely, 210418429 is an apocalyptic number.

It is an amenable number.

10418429 is a deficient number, since it is larger than the sum of its proper divisors (1842271).

10418429 is an equidigital number, since it uses as much as digits as its factorization.

10418429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 2485 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 10418429 is about 3227.7591297989. The cubic root of 10418429 is about 218.4074318093.

The spelling of 10418429 in words is "ten million, four hundred eighteen thousand, four hundred twenty-nine".

Divisors: 1 7 49 89 623 2389 4361 16723 117061 212621 1488347 10418429