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378789648 = 243172916007
BaseRepresentation
bin10110100100111…
…101111100010000
3222101202111201020
4112210331330100
51233432232043
6101330435440
712246441666
oct2644757420
9871674636
10378789648
111848a92a6
12a6a32b80
13606262b3
1438442c36
15233c3e83
hex1693df10

378789648 has 80 divisors (see below), whose sum is σ = 1071895680. Its totient is φ = 114731008.

The previous prime is 378789647. The next prime is 378789667. The reversal of 378789648 is 846987873.

It is a junction number, because it is equal to n+sod(n) for n = 378789591 and 378789600.

It is not an unprimeable number, because it can be changed into a prime (378789647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15661 + ... + 31667.

It is an arithmetic number, because the mean of its divisors is an integer number (13398696).

Almost surely, 2378789648 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 378789648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535947840).

378789648 is an abundant number, since it is smaller than the sum of its proper divisors (693106032).

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

378789648 is a wasteful number, since it uses less digits than its factorization.

378789648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16064 (or 16058 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 60.

The square root of 378789648 is about 19462.5190558674. The cubic root of 378789648 is about 723.5458116092.

The spelling of 378789648 in words is "three hundred seventy-eight million, seven hundred eighty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 34 48 51 58 68 87 102 116 136 174 204 232 272 348 408 464 493 696 816 986 1392 1479 1972 2958 3944 5916 7888 11832 16007 23664 32014 48021 64028 96042 128056 192084 256112 272119 384168 464203 544238 768336 816357 928406 1088476 1392609 1632714 1856812 2176952 2785218 3265428 3713624 4353904 5570436 6530856 7427248 7891451 11140872 13061712 15782902 22281744 23674353 31565804 47348706 63131608 94697412 126263216 189394824 378789648