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387057 = 31137317
BaseRepresentation
bin1011110011111110001
3201122221110
41132133301
544341212
612143533
73201306
oct1363761
9648843
10387057
11244890
12167ba9
13107238
14a10ad
1579a3c
hex5e7f1

387057 has 16 divisors (see below), whose sum is σ = 580032. Its totient is φ = 227520.

The previous prime is 387047. The next prime is 387071. The reversal of 387057 is 750783.

It is not a de Polignac number, because 387057 - 26 = 386993 is a prime.

387057 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387007) 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, 1063 + ... + 1379.

It is an arithmetic number, because the mean of its divisors is an integer number (36252).

2387057 is an apocalyptic number.

387057 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

387057 is a deficient number, since it is larger than the sum of its proper divisors (192975).

387057 is a wasteful number, since it uses less digits than its factorization.

387057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368.

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 387057 is about 622.1390519811. The cubic root of 387057 is about 72.8771939100.

The spelling of 387057 in words is "three hundred eighty-seven thousand, fifty-seven".

Divisors: 1 3 11 33 37 111 317 407 951 1221 3487 10461 11729 35187 129019 387057