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81788820 = 223510511297
BaseRepresentation
bin1001101111111…
…11111110010100
312200220022011120
410313333332110
5131414220240
612041003540
72012123241
oct467777624
9180808146
1081788820
1142193173
12234835b0
1313c38669
14ac105c8
1572a8ad0
hex4dfff94

81788820 has 48 divisors (see below), whose sum is σ = 229403328. Its totient is φ = 21772800.

The previous prime is 81788797. The next prime is 81788821. The reversal of 81788820 is 2888718.

It is a happy number.

It is a super-2 number, since 2×817888202 = 13378822153984800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81788821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62412 + ... + 63708.

It is an arithmetic number, because the mean of its divisors is an integer number (4779236).

Almost surely, 281788820 is an apocalyptic number.

It is an amenable number.

81788820 is an abundant number, since it is smaller than the sum of its proper divisors (147614508).

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

81788820 is a wasteful number, since it uses less digits than its factorization.

81788820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 42.

The square root of 81788820 is about 9043.7171561256. The cubic root of 81788820 is about 434.0748736444.

The spelling of 81788820 in words is "eighty-one million, seven hundred eighty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1051 1297 2102 2594 3153 3891 4204 5188 5255 6306 6485 7782 10510 12612 12970 15564 15765 19455 21020 25940 31530 38910 63060 77820 1363147 2726294 4089441 5452588 6815735 8178882 13631470 16357764 20447205 27262940 40894410 81788820