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81007824 = 2436725189
BaseRepresentation
bin1001101010000…
…01010011010000
312122102121211210
410311001103100
5131214222244
612012140120
72002361262
oct465012320
9178377753
1081007824
11417aa417
1223167640
1313a24031
14aa89b32
1571a24b9
hex4d414d0

81007824 has 40 divisors (see below), whose sum is σ = 212402080. Its totient is φ = 26598528.

The previous prime is 81007807. The next prime is 81007831. The reversal of 81007824 is 42870018.

It is a junction number, because it is equal to n+sod(n) for n = 81007791 and 81007800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9379 + ... + 15810.

It is an arithmetic number, because the mean of its divisors is an integer number (5310052).

Almost surely, 281007824 is an apocalyptic number.

It is an amenable number.

81007824 is an abundant number, since it is smaller than the sum of its proper divisors (131394256).

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

81007824 is a wasteful number, since it uses less digits than its factorization.

81007824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25267 (or 25261 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 81007824 is about 9000.4346561708. The cubic root of 81007824 is about 432.6888017062.

The spelling of 81007824 in words is "eighty-one million, seven thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 1072 1608 3216 25189 50378 75567 100756 151134 201512 302268 403024 604536 1209072 1687663 3375326 5062989 6750652 10125978 13501304 20251956 27002608 40503912 81007824