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73824 = 253769
BaseRepresentation
bin10010000001100000
310202021020
4102001200
54330244
61325440
7425142
oct220140
9122236
1073824
1150513
1236880
13277aa
141cc92
1516d19
hex12060

73824 has 24 divisors (see below), whose sum is σ = 194040. Its totient is φ = 24576.

The previous prime is 73823. The next prime is 73847. The reversal of 73824 is 42837.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 7 + 34 + 8 + 213 + 48 .

It is a plaindrome in base 9 and base 13.

It is a junction number, because it is equal to n+sod(n) for n = 73794 and 73803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 289 + ... + 480.

It is an arithmetic number, because the mean of its divisors is an integer number (8085).

273824 is an apocalyptic number.

It is an amenable number.

73824 is an abundant number, since it is smaller than the sum of its proper divisors (120216).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97020).

73824 is a wasteful number, since it uses less digits than its factorization.

73824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 774 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 73824 is about 271.7057231639. The cubic root of 73824 is about 41.9500540069.

The spelling of 73824 in words is "seventy-three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 769 1538 2307 3076 4614 6152 9228 12304 18456 24608 36912 73824