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412029 = 32172693
BaseRepresentation
bin1100100100101111101
3202221012100
41210211331
5101141104
612455313
73334152
oct1444575
9687170
10412029
11261622
1217a539
13115707
14aa229
1582139
hex6497d

412029 has 12 divisors (see below), whose sum is σ = 630396. Its totient is φ = 258432.

The previous prime is 412019. The next prime is 412031. The reversal of 412029 is 920214.

It can be written as a sum of positive squares in 2 ways, for example, as 248004 + 164025 = 498^2 + 405^2 .

It is not a de Polignac number, because 412029 - 217 = 280957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1194 + ... + 1499.

It is an arithmetic number, because the mean of its divisors is an integer number (52533).

2412029 is an apocalyptic number.

It is an amenable number.

412029 is a deficient number, since it is larger than the sum of its proper divisors (218367).

412029 is a wasteful number, since it uses less digits than its factorization.

412029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 412029 is about 641.8948512023. The cubic root of 412029 is about 74.4119344365.

The spelling of 412029 in words is "four hundred twelve thousand, twenty-nine".

Divisors: 1 3 9 17 51 153 2693 8079 24237 45781 137343 412029