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81054288 = 24327191421
BaseRepresentation
bin1001101010011…
…00101001010000
312122111222120200
410311030221100
5131222214123
612013135200
72002643610
oct465145120
9178458520
1081054288
1141831317
122318a500
1313a3c223
14aa9ca40
1571b1143
hex4d4ca50

81054288 has 120 divisors (see below), whose sum is σ = 261221376. Its totient is φ = 22982400.

The previous prime is 81054257. The next prime is 81054307. The reversal of 81054288 is 88245018.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 192318 + ... + 192738.

Almost surely, 281054288 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 81054288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130610688).

81054288 is an abundant number, since it is smaller than the sum of its proper divisors (180167088).

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

81054288 is a wasteful number, since it uses less digits than its factorization.

81054288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 81054288 is about 9003.0154948217. The cubic root of 81054288 is about 432.7715122763.

The spelling of 81054288 in words is "eighty-one million, fifty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 191 252 336 382 421 504 573 764 842 1008 1146 1263 1337 1528 1684 1719 2292 2526 2674 2947 3056 3368 3438 3789 4011 4584 5052 5348 5894 6736 6876 7578 8022 8841 9168 10104 10696 11788 12033 13752 15156 16044 17682 20208 21392 23576 24066 26523 27504 30312 32088 35364 47152 48132 53046 60624 64176 70728 80411 96264 106092 141456 160822 192528 212184 241233 321644 424368 482466 562877 643288 723699 964932 1125754 1286576 1447398 1688631 1929864 2251508 2894796 3377262 3859728 4503016 5065893 5789592 6754524 9006032 10131786 11579184 13509048 20263572 27018096 40527144 81054288