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405040477 = 29113123601
BaseRepresentation
bin11000001001000…
…110110101011101
31001020011012002011
4120021012311131
51312142243402
6104105231221
713015534012
oct3011066535
91036135064
10405040477
111986a89a6
12b3792511
1365bb792a
143bb17709
152585bed7
hex18246d5d

405040477 has 8 divisors (see below), whose sum is σ = 422718840. Its totient is φ = 387609600.

The previous prime is 405040463. The next prime is 405040507. The reversal of 405040477 is 774040504.

It can be written as a sum of positive squares in 4 ways, for example, as 65707236 + 339333241 = 8106^2 + 18421^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 405040477 - 211 = 405038429 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405040417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58524 + ... + 65077.

It is an arithmetic number, because the mean of its divisors is an integer number (52839855).

Almost surely, 2405040477 is an apocalyptic number.

It is an amenable number.

405040477 is a deficient number, since it is larger than the sum of its proper divisors (17678363).

405040477 is a wasteful number, since it uses less digits than its factorization.

405040477 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123743.

The product of its (nonzero) digits is 15680, while the sum is 31.

The square root of 405040477 is about 20125.6174315224. The cubic root of 405040477 is about 739.8882695931. Note that the first 3 decimals are identical.

The spelling of 405040477 in words is "four hundred five million, forty thousand, four hundred seventy-seven".

Divisors: 1 29 113 3277 123601 3584429 13966913 405040477