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102448 = 2419337
BaseRepresentation
bin11001000000110000
312012112101
4121000300
511234243
62110144
7604453
oct310060
9165471
10102448
116aa75
124b354
1337828
142949a
152054d
hex19030

102448 has 20 divisors (see below), whose sum is σ = 209560. Its totient is φ = 48384.

The previous prime is 102437. The next prime is 102451. The reversal of 102448 is 844201.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 136 + ... + 472.

It is an arithmetic number, because the mean of its divisors is an integer number (10478).

2102448 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 102448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104780).

102448 is an abundant number, since it is smaller than the sum of its proper divisors (107112).

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

102448 is a wasteful number, since it uses less digits than its factorization.

102448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 102448 is about 320.0749912130. The cubic root of 102448 is about 46.7915927139.

Adding to 102448 its reverse (844201), we get a palindrome (946649).

The spelling of 102448 in words is "one hundred two thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 19 38 76 152 304 337 674 1348 2696 5392 6403 12806 25612 51224 102448