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412111827 = 3357126731
BaseRepresentation
bin11000100100000…
…101001111010011
31001201110110011000
4120210011033103
51321000034302
6104520553043
713132615131
oct3044051723
91051413130
10412111827
111a1698796
12b6022783
13674c246a
143ca38751
15262a731c
hex189053d3

412111827 has 16 divisors (see below), whose sum is σ = 611628160. Its totient is φ = 274249800.

The previous prime is 412111823. The next prime is 412111829. The reversal of 412111827 is 728111214.

It is not a de Polignac number, because 412111827 - 22 = 412111823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 412111827.

It is not an unprimeable number, because it can be changed into a prime (412111823) 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 15 ways as a sum of consecutive naturals, for example, 2052 + ... + 28782.

It is an arithmetic number, because the mean of its divisors is an integer number (38226760).

Almost surely, 2412111827 is an apocalyptic number.

412111827 is a deficient number, since it is larger than the sum of its proper divisors (199516333).

412111827 is a wasteful number, since it uses less digits than its factorization.

412111827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27311 (or 27305 counting only the distinct ones).

The product of its digits is 896, while the sum is 27.

The square root of 412111827 is about 20300.5376037188. The cubic root of 412111827 is about 744.1692025415.

The spelling of 412111827 in words is "four hundred twelve million, one hundred eleven thousand, eight hundred twenty-seven".

Divisors: 1 3 9 27 571 1713 5139 15417 26731 80193 240579 721737 15263401 45790203 137370609 412111827