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96448 = 2611137
BaseRepresentation
bin10111100011000000
311220022011
4113203000
511041243
62022304
7551122
oct274300
9156264
1096448
1166510
1247994
1334b91
1427212
151d89d
hex178c0

96448 has 28 divisors (see below), whose sum is σ = 210312. Its totient is φ = 43520.

The previous prime is 96443. The next prime is 96451. The reversal of 96448 is 84469.

96448 is a Rhonda number in base 9.

It is a nialpdrome in base 11.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (96443) by changing a digit.

96448 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 636 + ... + 772.

296448 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 96448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105156).

96448 is an abundant number, since it is smaller than the sum of its proper divisors (113864).

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

96448 is a wasteful number, since it uses less digits than its factorization.

96448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 150 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 96448 is about 310.5607831005. The cubic root of 96448 is about 45.8596858554.

The spelling of 96448 in words is "ninety-six thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 137 176 274 352 548 704 1096 1507 2192 3014 4384 6028 8768 12056 24112 48224 96448