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102095648 = 25311011019
BaseRepresentation
bin1100001010111…
…01101100100000
321010002222220022
412011131230200
5202114030043
614044133012
72346540644
oct605355440
9233088808
10102095648
11526a2a76
122a237168
13181c8635
14d7b8c24
158e6a868
hex615db20

102095648 has 48 divisors (see below), whose sum is σ = 209744640. Its totient is φ = 48864000.

The previous prime is 102095647. The next prime is 102095663. The reversal of 102095648 is 846590201.

It is not an unprimeable number, because it can be changed into a prime (102095641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99683 + ... + 100701.

It is an arithmetic number, because the mean of its divisors is an integer number (4369680).

Almost surely, 2102095648 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 102095648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104872320).

102095648 is an abundant number, since it is smaller than the sum of its proper divisors (107648992).

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

102095648 is a wasteful number, since it uses less digits than its factorization.

102095648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 102095648 is about 10104.2391103932. The cubic root of 102095648 is about 467.3788726007.

The spelling of 102095648 in words is "one hundred two million, ninety-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 31 32 62 101 124 202 248 404 496 808 992 1019 1616 2038 3131 3232 4076 6262 8152 12524 16304 25048 31589 32608 50096 63178 100192 102919 126356 205838 252712 411676 505424 823352 1010848 1646704 3190489 3293408 6380978 12761956 25523912 51047824 102095648