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8342481888 = 2532134154347
BaseRepresentation
bin1111100010100000…
…00010101111100000
3210112101211222201200
413301100002233200
5114041133410023
63455452201200
7413506632426
oct76120025740
923471758650
108342481888
1135a1128134
121749a69200
13a2c496320
14591d79116
1533c5eb743
hex1f1402be0

8342481888 has 144 divisors (see below), whose sum is σ = 26172475056. Its totient is φ = 2504263680.

The previous prime is 8342481887. The next prime is 8342481967. The reversal of 8342481888 is 8881842438.

8342481888 is a `hidden beast` number, since 83 + 4 + 2 + 481 + 8 + 88 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8342481887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126331 + ... + 180677.

It is an arithmetic number, because the mean of its divisors is an integer number (181753299).

Almost surely, 28342481888 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 8342481888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13086237528).

8342481888 is an abundant number, since it is smaller than the sum of its proper divisors (17829993168).

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

8342481888 is a wasteful number, since it uses less digits than its factorization.

8342481888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54417 (or 54406 counting only the distinct ones).

The product of its digits is 3145728, while the sum is 54.

The square root of 8342481888 is about 91337.1878700018. The cubic root of 8342481888 is about 2028.1423052926.

The spelling of 8342481888 in words is "eight billion, three hundred forty-two million, four hundred eighty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 41 48 52 72 78 82 96 104 117 123 144 156 164 208 234 246 288 312 328 369 416 468 492 533 624 656 738 936 984 1066 1248 1312 1476 1599 1872 1968 2132 2952 3198 3744 3936 4264 4797 5904 6396 8528 9594 11808 12792 17056 19188 25584 38376 51168 54347 76752 108694 153504 163041 217388 326082 434776 489123 652164 706511 869552 978246 1304328 1413022 1739104 1956492 2119533 2228227 2608656 2826044 3912984 4239066 4456454 5217312 5652088 6358599 6684681 7825968 8478132 8912908 11304176 12717198 13369362 15651936 16956264 17825816 20054043 22608352 25434396 26738724 28966951 33912528 35651632 40108086 50868792 53477448 57933902 67825056 71303264 80216172 86900853 101737584 106954896 115867804 160432344 173801706 203475168 213909792 231735608 260702559 320864688 347603412 463471216 521405118 641729376 695206824 926942432 1042810236 1390413648 2085620472 2780827296 4171240944 8342481888