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96444 = 22331947
BaseRepresentation
bin10111100010111100
311220022000
4113202330
511041234
62022300
7551115
oct274274
9156260
1096444
1166507
1247990
1334b8a
142720c
151d899
hex178bc

96444 has 48 divisors (see below), whose sum is σ = 268800. Its totient is φ = 29808.

The previous prime is 96443. The next prime is 96451. The reversal of 96444 is 44469.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

96444 is a modest number, since divided by 444 gives 96 as remainder.

It is a plaindrome in base 16.

It is a nialpdrome in base 10.

It is a zygodrome in base 3.

It is a congruent number.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2029 + ... + 2075.

It is an arithmetic number, because the mean of its divisors is an integer number (5600).

296444 is an apocalyptic number.

96444 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134400).

96444 is an abundant number, since it is smaller than the sum of its proper divisors (172356).

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

96444 is a wasteful number, since it uses less digits than its factorization.

96444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 71 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 96444 is about 310.5543430706. The cubic root of 96444 is about 45.8590518652.

It can be divided in two parts, 96 and 444, that multiplied together give a palindrome (42624).

The spelling of 96444 in words is "ninety-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 47 54 57 76 94 108 114 141 171 188 228 282 342 423 513 564 684 846 893 1026 1269 1692 1786 2052 2538 2679 3572 5076 5358 8037 10716 16074 24111 32148 48222 96444