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1386106848 = 253271936187
BaseRepresentation
bin101001010011110…
…0100111111100000
310120121012112010200
41102213210333200
510314320404343
6345313025200
746230466560
oct12247447740
93517175120
101386106848
1165146a655
12328255200
13191225b89
14d2136da0
1581a4d4d3
hex529e4fe0

1386106848 has 144 divisors (see below), whose sum is σ = 4742075520. Its totient is φ = 375176448.

The previous prime is 1386106831. The next prime is 1386106859. The reversal of 1386106848 is 8486016831.

It is a happy number.

1386106848 is digitally balanced in base 4, 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 (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20211 + ... + 56397.

It is an arithmetic number, because the mean of its divisors is an integer number (32931080).

Almost surely, 21386106848 is an apocalyptic number.

1386106848 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 1386106848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371037760).

1386106848 is an abundant number, since it is smaller than the sum of its proper divisors (3355968672).

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

1386106848 is a wasteful number, since it uses less digits than its factorization.

1386106848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36229 (or 36218 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1386106848 is about 37230.4559198514. The cubic root of 1386106848 is about 1114.9761295807.

The spelling of 1386106848 in words is "one billion, three hundred eighty-six million, one hundred six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 608 672 684 798 912 1008 1064 1197 1368 1596 1824 2016 2128 2394 2736 3192 4256 4788 5472 6384 9576 12768 19152 36187 38304 72374 108561 144748 217122 253309 289496 325683 434244 506618 578992 651366 687553 759927 868488 1013236 1157984 1302732 1375106 1519854 1736976 2026472 2062659 2279781 2605464 2750212 3039708 3473952 4052944 4125318 4559562 4812871 5210928 5500424 6079416 6187977 8105888 8250636 9119124 9625742 10421856 11000848 12158832 12375954 14438613 16501272 18238248 19251484 22001696 24317664 24751908 28877226 33002544 36476496 38502968 43315839 49503816 57754452 66005088 72952992 77005936 86631678 99007632 115508904 154011872 173263356 198015264 231017808 346526712 462035616 693053424 1386106848