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416506941 = 345142061
BaseRepresentation
bin11000110100110…
…110010000111101
31002000201202010000
4120310312100331
51323111210231
6105155104513
713215151644
oct3064662075
91060652100
10416506941
111a411a914
12b75a2139
13683a0b16
143d46035b
15268746e6
hex18d3643d

416506941 has 10 divisors (see below), whose sum is σ = 622189502. Its totient is φ = 277671240.

The previous prime is 416506939. The next prime is 416506943. The reversal of 416506941 is 149605614.

It is an interprime number because it is at equal distance from previous prime (416506939) and next prime (416506943).

It can be written as a sum of positive squares in only one way, i.e., 394181316 + 22325625 = 19854^2 + 4725^2 .

It is not a de Polignac number, because 416506941 - 21 = 416506939 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 416506896 and 416506905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416506943) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2570950 + ... + 2571111.

Almost surely, 2416506941 is an apocalyptic number.

It is an amenable number.

416506941 is a deficient number, since it is larger than the sum of its proper divisors (205682561).

416506941 is an equidigital number, since it uses as much as digits as its factorization.

416506941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5142073 (or 5142064 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 416506941 is about 20408.5016843471. The cubic root of 416506941 is about 746.8053395135.

The spelling of 416506941 in words is "four hundred sixteen million, five hundred six thousand, nine hundred forty-one".

Divisors: 1 3 9 27 81 5142061 15426183 46278549 138835647 416506941