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5908681408 = 267191136143
BaseRepresentation
bin1011000000010111…
…10101001011000000
3120020210020010010011
411200023311023000
544100110301113
62414151314304
7266264651260
oct54013651300
916223203104
105908681408
112562329883
12118a97b994
137321a48b6
14400a3b7a0
15248aea63d
hex1602f52c0

5908681408 has 112 divisors (see below), whose sum is σ = 14232453120. Its totient is φ = 2377396224.

The previous prime is 5908681403. The next prime is 5908681433. The reversal of 5908681408 is 8041868095.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (5908681403) 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 15 ways as a sum of consecutive naturals, for example, 958785 + ... + 964927.

Almost surely, 25908681408 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 5908681408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7116226560).

5908681408 is an abundant number, since it is smaller than the sum of its proper divisors (8323771712).

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

5908681408 is a wasteful number, since it uses less digits than its factorization.

5908681408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6294 (or 6284 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 49.

The square root of 5908681408 is about 76867.9478586491. The cubic root of 5908681408 is about 1807.8547080886.

The spelling of 5908681408 in words is "five billion, nine hundred eight million, six hundred eighty-one thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 113 133 152 224 226 266 304 448 452 532 608 791 904 1064 1216 1582 1808 2128 2147 3164 3616 4256 4294 6143 6328 7232 8512 8588 12286 12656 15029 17176 24572 25312 30058 34352 43001 49144 50624 60116 68704 86002 98288 116717 120232 137408 172004 196576 233434 240464 344008 393152 466868 480928 688016 694159 817019 933736 961856 1376032 1388318 1634038 1867472 2752064 2776636 3268076 3734944 4859113 5553272 6536152 7469888 9718226 11106544 13072304 13189021 19436452 22213088 26144608 26378042 38872904 44426176 52289216 52756084 77745808 92323147 105512168 155491616 184646294 211024336 310983232 369292588 422048672 738585176 844097344 1477170352 2954340704 5908681408