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676384848 = 243217216253
BaseRepresentation
bin101000010100001…
…101000001010000
31202010201220120200
4220110031001100
52341123303343
6151041135200
722522114326
oct5024150120
91663656520
10676384848
1131788aa47
1216a62a500
13aa191629
1465b8bd16
153e5aa4d3
hex2850d050

676384848 has 90 divisors (see below), whose sum is σ = 2010961134. Its totient is φ = 212186112.

The previous prime is 676384843. The next prime is 676384853. The reversal of 676384848 is 848483676.

It is an interprime number because it is at equal distance from previous prime (676384843) and next prime (676384853).

It can be written as a sum of positive squares in 3 ways, for example, as 338854464 + 337530384 = 18408^2 + 18372^2 .

It is a junction number, because it is equal to n+sod(n) for n = 676384794 and 676384803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (676384843) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33490 + ... + 49742.

Almost surely, 2676384848 is an apocalyptic number.

676384848 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 676384848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005480567).

676384848 is an abundant number, since it is smaller than the sum of its proper divisors (1334576286).

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

676384848 is a wasteful number, since it uses less digits than its factorization.

676384848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16301 (or 16275 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 676384848 is about 26007.3998700370. The cubic root of 676384848 is about 877.8048109509.

The spelling of 676384848 in words is "six hundred seventy-six million, three hundred eighty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 289 306 408 578 612 816 867 1156 1224 1734 2312 2448 2601 3468 4624 5202 6936 10404 13872 16253 20808 32506 41616 48759 65012 97518 130024 146277 195036 260048 276301 292554 390072 552602 585108 780144 828903 1105204 1170216 1657806 2210408 2340432 2486709 3315612 4420816 4697117 4973418 6631224 9394234 9946836 13262448 14091351 18788468 19893672 28182702 37576936 39787344 42274053 56365404 75153872 84548106 112730808 169096212 225461616 338192424 676384848