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681838592 = 2115772
BaseRepresentation
bin101000101001000…
…000100000000000
31202111222222201012
4220221000200000
52344022313332
6151354100052
722616350421
oct5051004000
91674888635
10681838592
1131a975476
1217041a628
13ab350ab6
14667ab648
153ecd63b2
hex28a40800

681838592 has 36 divisors (see below), whose sum is σ = 1365711165. Its totient is φ = 340328448.

The previous prime is 681838589. The next prime is 681838607. The reversal of 681838592 is 295838186.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 397444096 + 284394496 = 19936^2 + 16864^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=18464.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 681838592.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1181408 + ... + 1181984.

Almost surely, 2681838592 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 681838592

681838592 is an abundant number, since it is smaller than the sum of its proper divisors (683872573).

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

681838592 is an frugal number, since it uses more digits than its factorization.

681838592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 579 counting only the distinct ones).

The product of its digits is 829440, while the sum is 50.

The square root of 681838592 is about 26112.0392156568. The cubic root of 681838592 is about 880.1577678567.

Multiplying 681838592 by its sum of digits (50), we get a square (34091929600 = 1846402).

The spelling of 681838592 in words is "six hundred eighty-one million, eight hundred thirty-eight thousand, five hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 577 1024 1154 2048 2308 4616 9232 18464 36928 73856 147712 295424 332929 590848 665858 1181696 1331716 2663432 5326864 10653728 21307456 42614912 85229824 170459648 340919296 681838592