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388512 = 25321971
BaseRepresentation
bin1011110110110100000
3201201221100
41132312200
544413022
612154400
73205455
oct1366640
9651840
10388512
11245993
12168a00
13107ab7
14a182c
157a1ac
hex5eda0

388512 has 72 divisors (see below), whose sum is σ = 1179360. Its totient is φ = 120960.

The previous prime is 388499. The next prime is 388519. The reversal of 388512 is 215883.

It is a happy number.

388512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388519) by changing a digit.

388512 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5437 + ... + 5507.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2388512 is an apocalyptic number.

388512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589680).

388512 is an abundant number, since it is smaller than the sum of its proper divisors (790848).

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

388512 is a wasteful number, since it uses less digits than its factorization.

388512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 95 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 388512 is about 623.3073078346. The cubic root of 388512 is about 72.9683981561.

It can be divided in two parts, 388 and 512, that added together give a square (900 = 302).

The spelling of 388512 in words is "three hundred eighty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 71 72 76 96 114 142 144 152 171 213 228 284 288 304 342 426 456 568 608 639 684 852 912 1136 1278 1349 1368 1704 1824 2272 2556 2698 2736 3408 4047 5112 5396 5472 6816 8094 10224 10792 12141 16188 20448 21584 24282 32376 43168 48564 64752 97128 129504 194256 388512