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416212027 = 72111934001
BaseRepresentation
bin11000110011101…
…110010000111011
31002000011202120021
4120303232100323
51323022241102
6105144511311
713212513100
oct3063562073
91060152507
10416212027
111a3a39290
12b747b537
13682c980a
143d3c4aa7
1526817137
hex18cee43b

416212027 has 24 divisors (see below), whose sum is σ = 531049392. Its totient is φ = 322560000.

The previous prime is 416211997. The next prime is 416212039. The reversal of 416212027 is 720212614.

It is not a de Polignac number, because 416212027 - 27 = 416211899 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 416211992 and 416212010.

It is not an unprimeable number, because it can be changed into a prime (416212427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102027 + ... + 106027.

It is an arithmetic number, because the mean of its divisors is an integer number (22127058).

Almost surely, 2416212027 is an apocalyptic number.

416212027 is a deficient number, since it is larger than the sum of its proper divisors (114837365).

416212027 is a wasteful number, since it uses less digits than its factorization.

416212027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4219 (or 4212 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 416212027 is about 20401.2751317166. The cubic root of 416212027 is about 746.6290356469.

The spelling of 416212027 in words is "four hundred sixteen million, two hundred twelve thousand, twenty-seven".

Divisors: 1 7 11 49 77 193 539 1351 2123 4001 9457 14861 28007 44011 104027 196049 308077 772193 2156539 5405351 8494123 37837457 59458861 416212027