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387866952 = 23321122112
BaseRepresentation
bin10111000111100…
…110000101001000
31000000211200102200
4113013212011020
51243243220302
6102253200200
712416546304
oct2707460510
91000750380
10387866952
11189a39200
12a9a90060
1362483b95
1439726d04
15240b881c
hex171e6148

387866952 has 108 divisors (see below), whose sum is σ = 1160150355. Its totient is φ = 116978400.

The previous prime is 387866939. The next prime is 387866957. The reversal of 387866952 is 259668783.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 193933476 + 193933476 = 13926^2 + 13926^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=13926.

It is not an unprimeable number, because it can be changed into a prime (387866957) 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 26 ways as a sum of consecutive naturals, for example, 1838127 + ... + 1838337.

Almost surely, 2387866952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387866952

387866952 is an abundant number, since it is smaller than the sum of its proper divisors (772283403).

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

387866952 is a wasteful number, since it uses less digits than its factorization.

387866952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 227 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 387866952 is about 19694.3380696077. The cubic root of 387866952 is about 729.2799254659.

The spelling of 387866952 in words is "three hundred eighty-seven million, eight hundred sixty-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 211 242 264 363 396 422 484 633 726 792 844 968 1089 1266 1452 1688 1899 2178 2321 2532 2904 3798 4356 4642 5064 6963 7596 8712 9284 13926 15192 18568 20889 25531 27852 41778 44521 51062 55704 76593 83556 89042 102124 133563 153186 167112 178084 204248 229779 267126 306372 356168 400689 459558 489731 534252 612744 801378 919116 979462 1068504 1469193 1602756 1838232 1958924 2938386 3205512 3917848 4407579 5387041 5876772 8815158 10774082 11753544 16161123 17630316 21548164 32322246 35260632 43096328 48483369 64644492 96966738 129288984 193933476 387866952