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427707 = 3373173
BaseRepresentation
bin1101000011010111011
3210201201000
41220122323
5102141312
613100043
73430650
oct1503273
9721630
10427707
11272385
12187623
1311c8a7
14b1c27
1586adc
hex686bb

427707 has 32 divisors (see below), whose sum is σ = 757760. Its totient is φ = 233280.

The previous prime is 427681. The next prime is 427711. The reversal of 427707 is 707724.

It is a happy number.

It is not a de Polignac number, because 427707 - 27 = 427579 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5823 + ... + 5895.

It is an arithmetic number, because the mean of its divisors is an integer number (23680).

2427707 is an apocalyptic number.

427707 is a deficient number, since it is larger than the sum of its proper divisors (330053).

427707 is a wasteful number, since it uses less digits than its factorization.

427707 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 427707 is about 653.9931192299. The cubic root of 427707 is about 75.3440195942.

The spelling of 427707 in words is "four hundred twenty-seven thousand, seven hundred seven", and thus it is an iban number.

Divisors: 1 3 7 9 21 27 31 63 73 93 189 217 219 279 511 651 657 837 1533 1953 1971 2263 4599 5859 6789 13797 15841 20367 47523 61101 142569 427707