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81812384 = 2541127491
BaseRepresentation
bin1001110000001…
…01101110100000
312200221111111022
410320011232200
5131420444014
612041305012
72012252033
oct470055640
9180844438
1081812384
11421a9945
1223495168
1313c462c4
14ac1901a
1572b0a8e
hex4e05ba0

81812384 has 48 divisors (see below), whose sum is σ = 166634496. Its totient is φ = 39513600.

The previous prime is 81812363. The next prime is 81812387. The reversal of 81812384 is 48321818.

It is not an unprimeable number, because it can be changed into a prime (81812387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166379 + ... + 166869.

It is an arithmetic number, because the mean of its divisors is an integer number (3471552).

Almost surely, 281812384 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 81812384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83317248).

81812384 is an abundant number, since it is smaller than the sum of its proper divisors (84822112).

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

81812384 is a wasteful number, since it uses less digits than its factorization.

81812384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 661 counting only the distinct ones).

The product of its digits is 12288, while the sum is 35.

The square root of 81812384 is about 9045.0198451966. The cubic root of 81812384 is about 434.1165564325.

The spelling of 81812384 in words is "eighty-one million, eight hundred twelve thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 41 82 127 164 254 328 491 508 656 982 1016 1312 1964 2032 3928 4064 5207 7856 10414 15712 20131 20828 40262 41656 62357 80524 83312 124714 161048 166624 249428 322096 498856 644192 997712 1995424 2556637 5113274 10226548 20453096 40906192 81812384