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389148564 = 223717299397
BaseRepresentation
bin10111001100011…
…110111110010100
31000010020210110210
4113030132332110
51244110223224
6102340445420
712433464630
oct2714367624
91003223423
10389148564
1118a734092
12aa3a9870
136281232c
143997bdc0
152426d429
hex1731ef94

389148564 has 96 divisors (see below), whose sum is σ = 1136782080. Its totient is φ = 101025792.

The previous prime is 389148533. The next prime is 389148583. The reversal of 389148564 is 465841983.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36714 + ... + 46110.

It is an arithmetic number, because the mean of its divisors is an integer number (11841480).

Almost surely, 2389148564 is an apocalyptic number.

389148564 is a gapful number since it is divisible by the number (34) 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 389148564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568391040).

389148564 is an abundant number, since it is smaller than the sum of its proper divisors (747633516).

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

389148564 is a wasteful number, since it uses less digits than its factorization.

389148564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9457 (or 9455 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 389148564 is about 19726.8488106945. The cubic root of 389148564 is about 730.0822850887.

The spelling of 389148564 in words is "three hundred eighty-nine million, one hundred forty-eight thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 29 34 42 51 58 68 84 87 102 116 119 174 203 204 238 348 357 406 476 493 609 714 812 986 1218 1428 1479 1972 2436 2958 3451 5916 6902 9397 10353 13804 18794 20706 28191 37588 41412 56382 65779 112764 131558 159749 197337 263116 272513 319498 394674 479247 545026 638996 789348 817539 958494 1090052 1118243 1635078 1907591 1916988 2236486 3270156 3354729 3815182 4472972 4632721 5722773 6709458 7630364 9265442 11445546 13418916 13898163 18530884 22891092 27796326 32429047 55592652 64858094 97287141 129716188 194574282 389148564