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102887648 = 2523433251
BaseRepresentation
bin1100010000111…
…11000011100000
321011121020022122
412020133003200
5202314401043
614113123412
72356346663
oct610370340
9234536278
10102887648
1153094016
122a559568
1318414c86
14d9436da
159075368
hex621f0e0

102887648 has 48 divisors (see below), whose sum is σ = 216349056. Its totient is φ = 48048000.

The previous prime is 102887623. The next prime is 102887651. The reversal of 102887648 is 846788201.

It is a super-2 number, since 2×1028876482 = 21171736221943808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102887599 and 102887608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30023 + ... + 33273.

It is an arithmetic number, because the mean of its divisors is an integer number (4507272).

Almost surely, 2102887648 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 102887648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108174528).

102887648 is an abundant number, since it is smaller than the sum of its proper divisors (113461408).

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

102887648 is a wasteful number, since it uses less digits than its factorization.

102887648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3327 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 44.

The square root of 102887648 is about 10143.3548690756. The cubic root of 102887648 is about 468.5843141127.

The spelling of 102887648 in words is "one hundred two million, eight hundred eighty-seven thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 23 32 43 46 86 92 172 184 344 368 688 736 989 1376 1978 3251 3956 6502 7912 13004 15824 26008 31648 52016 74773 104032 139793 149546 279586 299092 559172 598184 1118344 1196368 2236688 2392736 3215239 4473376 6430478 12860956 25721912 51443824 102887648