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96544 = 257431
BaseRepresentation
bin10111100100100000
311220102201
4113210200
511042134
62022544
7551320
oct274440
9156381
1096544
1166598
1247a54
1334c36
1427280
151d914
hex17920

96544 has 24 divisors (see below), whose sum is σ = 217728. Its totient is φ = 41280.

The previous prime is 96527. The next prime is 96553. The reversal of 96544 is 44569.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is a nialpdrome in base 10.

It is an unprimeable 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, 9 + ... + 439.

It is an arithmetic number, because the mean of its divisors is an integer number (9072).

296544 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 96544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864).

96544 is an abundant number, since it is smaller than the sum of its proper divisors (121184).

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

96544 is a wasteful number, since it uses less digits than its factorization.

96544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 440 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 96544 is about 310.7153037750. The cubic root of 96544 is about 45.8748963660.

The spelling of 96544 in words is "ninety-six thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 431 862 1724 3017 3448 6034 6896 12068 13792 24136 48272 96544