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81033876 = 2232711233141
BaseRepresentation
bin1001101010001…
…11101010010100
312122110221120200
410311013222110
5131221041001
612012500500
72002530240
oct465075224
9178427520
1081033876
1141817a50
122317a730
1313a32b51
14aa95420
1571aa086
hex4d47a94

81033876 has 288 divisors, whose sum is σ = 281788416. Its totient is φ = 19008000.

The previous prime is 81033863. The next prime is 81033889. The reversal of 81033876 is 67833018.

It is an interprime number because it is at equal distance from previous prime (81033863) and next prime (81033889).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 81033876.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1976416 + ... + 1976456.

It is an arithmetic number, because the mean of its divisors is an integer number (978432).

Almost surely, 281033876 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 81033876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140894208).

81033876 is an abundant number, since it is smaller than the sum of its proper divisors (200754540).

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

81033876 is a wasteful number, since it uses less digits than its factorization.

81033876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 81033876 is about 9001.8818032676. The cubic root of 81033876 is about 432.7351807674.

The spelling of 81033876 in words is "eighty-one million, thirty-three thousand, eight hundred seventy-six".