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678005216 = 25731251389
BaseRepresentation
bin101000011010011…
…000100111100000
31202020210020022022
4220122120213200
52342032131331
6151140001012
722541643410
oct5032304740
91666706268
10678005216
11318797399
1216b090168
13aa60b025
1466090640
153e7ca67b
hex286989e0

678005216 has 96 divisors (see below), whose sum is σ = 1585059840. Its totient is φ = 279360000.

The previous prime is 678005213. The next prime is 678005219. The reversal of 678005216 is 612500876.

It is an interprime number because it is at equal distance from previous prime (678005213) and next prime (678005219).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678005213) 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, 1742750 + ... + 1743138.

It is an arithmetic number, because the mean of its divisors is an integer number (16511040).

Almost surely, 2678005216 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 678005216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792529920).

678005216 is an abundant number, since it is smaller than the sum of its proper divisors (907054624).

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

678005216 is a wasteful number, since it uses less digits than its factorization.

678005216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 678005216 is about 26038.5332920270. The cubic root of 678005216 is about 878.5052171953.

The spelling of 678005216 in words is "six hundred seventy-eight million, five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 251 389 434 496 502 778 868 992 1004 1556 1736 1757 2008 2723 3112 3472 3514 4016 5446 6224 6944 7028 7781 8032 10892 12059 12448 14056 15562 21784 24118 28112 31124 43568 48236 54467 56224 62248 84413 87136 96472 97639 108934 124496 168826 192944 195278 217868 248992 337652 385888 390556 435736 675304 683473 781112 871472 1350608 1366946 1562224 1742944 2701216 2733892 3026809 3124448 5467784 6053618 10935568 12107236 21187663 21871136 24214472 42375326 48428944 84750652 96857888 169501304 339002608 678005216