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416031217 = 731212919
BaseRepresentation
bin11000110011000…
…010000111110001
31001222211120112121
4120303002013301
51323000444332
6105140554241
713211131000
oct3063020761
91058746477
10416031217
111a3925458
12b73b2981
1368265424
143d378c37
15267cd797
hex18cc21f1

416031217 has 8 divisors (see below), whose sum is σ = 485168000. Its totient is φ = 356597892.

The previous prime is 416031211. The next prime is 416031229. The reversal of 416031217 is 712130614.

It is not a de Polignac number, because 416031217 - 227 = 281813489 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 416031191 and 416031200.

It is not an unprimeable number, because it can be changed into a prime (416031211) 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, 606117 + ... + 606802.

It is an arithmetic number, because the mean of its divisors is an integer number (60646000).

Almost surely, 2416031217 is an apocalyptic number.

It is an amenable number.

416031217 is a deficient number, since it is larger than the sum of its proper divisors (69136783).

416031217 is an equidigital number, since it uses as much as digits as its factorization.

416031217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212940 (or 1212926 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 416031217 is about 20396.8433096889. The cubic root of 416031217 is about 746.5209036209.

The spelling of 416031217 in words is "four hundred sixteen million, thirty-one thousand, two hundred seventeen".

Divisors: 1 7 49 343 1212919 8490433 59433031 416031217