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108382848 = 273761661
BaseRepresentation
bin1100111010111…
…00101010000000
321112221102022120
412131130222000
5210221222343
614431004240
72454144660
oct635345200
9245842276
10108382848
11561a7702
1230369680
13195ba282
14105741a0
1597ad683
hex675ca80

108382848 has 128 divisors (see below), whose sum is σ = 334919040. Its totient is φ = 30412800.

The previous prime is 108382847. The next prime is 108382861. The reversal of 108382848 is 848283801.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1083828482 = 23493683481182208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (108382843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163638 + ... + 164298.

It is an arithmetic number, because the mean of its divisors is an integer number (2616555).

Almost surely, 2108382848 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 108382848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167459520).

108382848 is an abundant number, since it is smaller than the sum of its proper divisors (226536192).

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

108382848 is an equidigital number, since it uses as much as digits as its factorization.

108382848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 108382848 is about 10410.7083332500. The cubic root of 108382848 is about 476.7823680101.

The spelling of 108382848 in words is "one hundred eight million, three hundred eighty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 64 84 96 112 122 128 168 183 192 224 244 336 366 384 427 448 488 661 672 732 854 896 976 1281 1322 1344 1464 1708 1952 1983 2562 2644 2688 2928 3416 3904 3966 4627 5124 5288 5856 6832 7808 7932 9254 10248 10576 11712 13664 13881 15864 18508 20496 21152 23424 27328 27762 31728 37016 40321 40992 42304 54656 55524 63456 74032 80642 81984 84608 111048 120963 126912 148064 161284 163968 222096 241926 253824 282247 296128 322568 444192 483852 564494 592256 645136 846741 888384 967704 1128988 1290272 1693482 1776768 1935408 2257976 2580544 3386964 3870816 4515952 5161088 6773928 7741632 9031904 13547856 15483264 18063808 27095712 36127616 54191424 108382848