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1386390528 = 21032178849
BaseRepresentation
bin101001010100010…
…1010010000000000
310120121201221021100
41102220222100000
510314403444103
6345323054400
746233060615
oct12250522000
93517657240
101386390528
116516437a6
12328371400
131912c5033
14d21ac50c
1581aa75a3
hex52a2a400

1386390528 has 132 divisors (see below), whose sum is σ = 4239132300. Its totient is φ = 434896896.

The previous prime is 1386390491. The next prime is 1386390529. The reversal of 1386390528 is 8250936831.

It is a happy number.

1386390528 is a `hidden beast` number, since 1 + 3 + 8 + 639 + 0 + 5 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 394896384 + 991494144 = 19872^2 + 31488^2 .

It is a super-2 number, since 2×13863905282 = 3844157392256237568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1386390529) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152248 + ... + 161096.

Almost surely, 21386390528 is an apocalyptic number.

1386390528 is a gapful number since it is divisible by the number (18) 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 1386390528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119566150).

1386390528 is an abundant number, since it is smaller than the sum of its proper divisors (2852741772).

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

1386390528 is a wasteful number, since it uses less digits than its factorization.

1386390528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8892 (or 8871 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1386390528 is about 37234.2655090711. The cubic root of 1386390528 is about 1115.0521878956.

The spelling of 1386390528 in words is "one billion, three hundred eighty-six million, three hundred ninety thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1024 1088 1152 1224 1536 1632 2176 2304 2448 3072 3264 4352 4608 4896 6528 8704 8849 9216 9792 13056 17408 17698 19584 26112 26547 35396 39168 52224 53094 70792 78336 79641 106188 141584 150433 156672 159282 212376 283168 300866 318564 424752 451299 566336 601732 637128 849504 902598 1132672 1203464 1274256 1353897 1699008 1805196 2265344 2406928 2548512 2707794 3398016 3610392 4530688 4813856 5097024 5415588 6796032 7220784 9061376 9627712 10194048 10831176 13592064 14441568 19255424 20388096 21662352 27184128 28883136 38510848 40776192 43324704 57766272 77021696 81552384 86649408 115532544 154043392 173298816 231065088 346597632 462130176 693195264 1386390528