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4000477 = 13378317
BaseRepresentation
bin1111010000101011011101
321112020121211
433100223131
52011003402
6221424421
746001125
oct17205335
97466554
104000477
112292688
12140b111
13aa0b60
14761c85
155404d7
hex3d0add

4000477 has 8 divisors (see below), whose sum is σ = 4425176. Its totient is φ = 3592512.

The previous prime is 4000439. The next prime is 4000489. The reversal of 4000477 is 7740004.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1865956 + 2134521 = 1366^2 + 1461^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4000477 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 (4000277) 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, 3678 + ... + 4639.

It is an arithmetic number, because the mean of its divisors is an integer number (553147).

Almost surely, 24000477 is an apocalyptic number.

It is an amenable number.

4000477 is a deficient number, since it is larger than the sum of its proper divisors (424699).

4000477 is a wasteful number, since it uses less digits than its factorization.

4000477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8367.

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 4000477 is about 2000.1192464451. The cubic root of 4000477 is about 158.7464148652.

The spelling of 4000477 in words is "four million, four hundred seventy-seven", and thus it is an aban number.

Divisors: 1 13 37 481 8317 108121 307729 4000477