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406064919 = 313361609
BaseRepresentation
bin11000001101000…
…000111100010111
31001022002020100110
4120031000330113
51312423034134
6104143214103
713030331511
oct3015007427
91038066313
10406064919
11199238647
12b3ba7333
1366186000
143bd02bb1
15259b07e9
hex18340f17

406064919 has 16 divisors (see below), whose sum is σ = 586527200. Its totient is φ = 249882048.

The previous prime is 406064917. The next prime is 406064927. The reversal of 406064919 is 919460604.

It is not a de Polignac number, because 406064919 - 21 = 406064917 is a prime.

It is a super-2 number, since 2×4060649192 = 329777436884953122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406064917) 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, 24214 + ... + 37395.

It is an arithmetic number, because the mean of its divisors is an integer number (36657950).

Almost surely, 2406064919 is an apocalyptic number.

406064919 is a deficient number, since it is larger than the sum of its proper divisors (180462281).

406064919 is an equidigital number, since it uses as much as digits as its factorization.

406064919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61651 (or 61625 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 406064919 is about 20151.0525531546. The cubic root of 406064919 is about 740.5115278666.

The spelling of 406064919 in words is "four hundred six million, sixty-four thousand, nine hundred nineteen".

Divisors: 1 3 13 39 169 507 2197 6591 61609 184827 800917 2402751 10411921 31235763 135354973 406064919