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387112005 = 325724192
BaseRepresentation
bin10111000100101…
…101110001000101
3222222102022211200
4113010231301011
51243100041010
6102225053113
712410253300
oct2704556105
9888368750
10387112005
11189572a85
12a9787199
136227b377
14395abb37
1523eb9cc0
hex1712dc45

387112005 has 54 divisors (see below), whose sum is σ = 782411526. Its totient is φ = 176543136.

The previous prime is 387112003. The next prime is 387112013. The reversal of 387112005 is 500211783.

It can be written as a sum of positive squares in only one way, i.e., 309689604 + 77422401 = 17598^2 + 8799^2 .

It is not a de Polignac number, because 387112005 - 21 = 387112003 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 387112005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387112001) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 923686 + ... + 924104.

Almost surely, 2387112005 is an apocalyptic number.

387112005 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

387112005 is an abundant number, since it is smaller than the sum of its proper divisors (395299521).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

387112005 is an equidigital number, since it uses as much as digits as its factorization.

387112005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 387112005 is about 19675.1621340206. The cubic root of 387112005 is about 728.8064595987.

Adding to 387112005 its reverse (500211783), we get a palindrome (887323788).

It can be divided in two parts, 3871 and 12005, that added together give a square (15876 = 1262).

The spelling of 387112005 in words is "three hundred eighty-seven million, one hundred twelve thousand, five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 419 441 735 1257 2095 2205 2933 3771 6285 8799 14665 18855 20531 26397 43995 61593 102655 131985 175561 184779 307965 526683 877805 923895 1228927 1580049 2633415 3686781 6144635 7900245 8602489 11060343 18433905 25807467 43012445 55301715 77422401 129037335 387112005