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2678896248 = 233723173483
BaseRepresentation
bin1001111110101100…
…1011011001111000
320220200211000210120
42133223023121320
520441244134443
61121454013240
7123246146100
oct23753133170
96820730716
102678896248
111155192446
126291a7220
13339007b12
141b5adc200
1510a2b7083
hex9facb678

2678896248 has 96 divisors (see below), whose sum is σ = 8042088960. Its totient is φ = 740698560.

The previous prime is 2678896223. The next prime is 2678896249. The reversal of 2678896248 is 8426988762.

It is a junction number, because it is equal to n+sod(n) for n = 2678896191 and 2678896200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2678896249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286 + ... + 73197.

It is an arithmetic number, because the mean of its divisors is an integer number (83771760).

Almost surely, 22678896248 is an apocalyptic number.

2678896248 is a gapful number since it is divisible by the number (28) 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 2678896248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021044480).

2678896248 is an abundant number, since it is smaller than the sum of its proper divisors (5363192712).

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

2678896248 is a wasteful number, since it uses less digits than its factorization.

2678896248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73537 (or 73526 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 60.

The square root of 2678896248 is about 51758.0549093569. The cubic root of 2678896248 is about 1388.8391958024.

The spelling of 2678896248 in words is "two billion, six hundred seventy-eight million, eight hundred ninety-six thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 49 56 62 84 93 98 124 147 168 186 196 217 248 294 372 392 434 588 651 744 868 1176 1302 1519 1736 2604 3038 4557 5208 6076 9114 12152 18228 36456 73483 146966 220449 293932 440898 514381 587864 881796 1028762 1543143 1763592 2057524 2277973 3086286 3600667 4115048 4555946 6172572 6833919 7201334 9111892 10802001 12345144 13667838 14402668 15945811 18223784 21604002 27335676 28805336 31891622 43208004 47837433 54671352 63783244 86416008 95674866 111620677 127566488 191349732 223241354 334862031 382699464 446482708 669724062 892965416 1339448124 2678896248