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81003776 = 287172659
BaseRepresentation
bin1001101010000…
…00010100000000
312122102102021212
410311000110000
5131214110101
612012105252
72002343420
oct465002400
9178372255
1081003776
11417a7377
1223165228
1313a22239
14aa88480
1571a11bb
hex4d40500

81003776 has 72 divisors (see below), whose sum is σ = 195733440. Its totient is φ = 32661504.

The previous prime is 81003763. The next prime is 81003781. The reversal of 81003776 is 67730018.

It is a happy number.

It is a super-2 number, since 2×810037762 = 13123223452516352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29135 + ... + 31793.

It is an arithmetic number, because the mean of its divisors is an integer number (2718520).

Almost surely, 281003776 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 81003776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97866720).

81003776 is an abundant number, since it is smaller than the sum of its proper divisors (114729664).

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

81003776 is a wasteful number, since it uses less digits than its factorization.

81003776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 81003776 is about 9000.2097753330. The cubic root of 81003776 is about 432.6815943635.

The spelling of 81003776 in words is "eighty-one million, three thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 544 896 952 1088 1792 1904 2176 2659 3808 4352 5318 7616 10636 15232 18613 21272 30464 37226 42544 45203 74452 85088 90406 148904 170176 180812 297808 316421 340352 361624 595616 632842 680704 723248 1191232 1265684 1446496 2382464 2531368 2892992 4764928 5062736 5785984 10125472 11571968 20250944 40501888 81003776