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1386828378 = 234132328631
BaseRepresentation
bin101001010101001…
…0101001001011010
310120122120011220000
41102222111021122
510320012002003
6345340313430
746236563265
oct12252251132
93518504800
101386828378
11651912761
12328542876
13191419410
14d2283cdc
1581b421a3
hex52a9525a

1386828378 has 80 divisors (see below), whose sum is σ = 3492187776. Its totient is φ = 408149280.

The previous prime is 1386828371. The next prime is 1386828383. The reversal of 1386828378 is 8738286831.

It is a super-2 number, since 2×13868283782 = 3846585900052221768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3096576) is a multiple of the sum of its prime divisors (28672).

It is not an unprimeable number, because it can be changed into a prime (1386828371) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34123 + ... + 62753.

Almost surely, 21386828378 is an apocalyptic number.

1386828378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1386828378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746093888).

1386828378 is an abundant number, since it is smaller than the sum of its proper divisors (2105359398).

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

1386828378 is a wasteful number, since it uses less digits than its factorization.

1386828378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28681 (or 28672 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 1386828378 is about 37240.1447097081. The cubic root of 1386828378 is about 1115.1695608393.

The spelling of 1386828378 in words is "one billion, three hundred eighty-six million, eight hundred twenty-eight thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 69 78 81 117 138 162 207 234 299 351 414 598 621 702 897 1053 1242 1794 1863 2106 2691 3726 5382 8073 16146 24219 28631 48438 57262 85893 171786 257679 372203 515358 658513 744406 773037 1116609 1317026 1546074 1975539 2233218 2319111 3349827 3951078 4638222 5926617 6699654 8560669 10049481 11853234 17121338 17779851 20098962 25682007 30148443 35559702 51364014 53339553 60296886 77046021 106679106 154092042 231138063 462276126 693414189 1386828378