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681247872 = 27327692
BaseRepresentation
bin101000100110110…
…000010010000000
31202110212222101200
4220212300102000
52343344412442
6151333301200
722611340254
oct5046602200
91673788350
10681247872
1131a601678
12170194800
13ab1a4c66
1466696264
153ec1b34c
hex289b0480

681247872 has 72 divisors (see below), whose sum is σ = 1962914265. Its totient is φ = 226787328.

The previous prime is 681247843. The next prime is 681247873. The reversal of 681247872 is 278742186.

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 673091136 + 8156736 = 25944^2 + 2856^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=18456.

It is not an unprimeable number, because it can be changed into a prime (681247873) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 885504 + ... + 886272.

Almost surely, 2681247872 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 681247872

681247872 is an abundant number, since it is smaller than the sum of its proper divisors (1281666393).

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

681247872 is an frugal number, since it uses more digits than its factorization.

681247872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 774 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 681247872 is about 26100.7255071578. The cubic root of 681247872 is about 879.9035155925.

The spelling of 681247872 in words is "six hundred eighty-one million, two hundred forty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 769 1152 1538 2307 3076 4614 6152 6921 9228 12304 13842 18456 24608 27684 36912 49216 55368 73824 98432 110736 147648 221472 295296 442944 591361 885888 1182722 1774083 2365444 3548166 4730888 5322249 7096332 9461776 10644498 14192664 18923552 21288996 28385328 37847104 42577992 56770656 75694208 85155984 113541312 170311968 227082624 340623936 681247872