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2708431488 = 27327247981
BaseRepresentation
bin1010000101101111…
…0110001010000000
320222202101120112100
42201123312022000
521021324301423
61124431030400
7124055200500
oct24133661200
96882346470
102708431488
11116a925734
1263706b400
133421793a9
141b99c9a00
1510cb9d343
hexa16f6280

2708431488 has 144 divisors (see below), whose sum is σ = 9066438810. Its totient is φ = 773821440.

The previous prime is 2708431477. The next prime is 2708431489. The reversal of 2708431488 is 8841348072.

It can be written as a sum of positive squares in only one way, i.e., 2523253824 + 185177664 = 50232^2 + 13608^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×27084314882 = 14671202250379788288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2708431489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32458 + ... + 80438.

Almost surely, 22708431488 is an apocalyptic number.

2708431488 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 2708431488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4533219405).

2708431488 is an abundant number, since it is smaller than the sum of its proper divisors (6358007322).

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

2708431488 is a wasteful number, since it uses less digits than its factorization.

2708431488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48015 (or 47993 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 2708431488 is about 52042.5930176428. The cubic root of 2708431488 is about 1393.9246068979.

The spelling of 2708431488 in words is "two billion, seven hundred eight million, four hundred thirty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 288 294 336 384 392 441 448 504 576 588 672 784 882 896 1008 1152 1176 1344 1568 1764 2016 2352 2688 3136 3528 4032 4704 6272 7056 8064 9408 14112 18816 28224 47981 56448 95962 143943 191924 287886 335867 383848 431829 575772 671734 767696 863658 1007601 1151544 1343468 1535392 1727316 2015202 2303088 2351069 2686936 3022803 3070784 3454632 4030404 4606176 4702138 5373872 6045606 6141568 6909264 7053207 8060808 9212352 9404276 10747744 12091212 13818528 14106414 16121616 18424704 18808552 21159621 21495488 24182424 27637056 28212828 32243232 37617104 42319242 42990976 48364848 55274112 56425656 64486464 75234208 84638484 96729696 112851312 128972928 150468416 169276968 193459392 225702624 300936832 338553936 386918784 451405248 677107872 902810496 1354215744 2708431488