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81290352 = 24311132911
BaseRepresentation
bin1001101100001…
…10010001110000
312122221222101210
410312012101300
5131302242402
612022200120
72004646053
oct466062160
9178858353
1081290352
1141982710
1223283040
1313ac2800
14ab20a9a
15720b06c
hex4d86470

81290352 has 120 divisors (see below), whose sum is σ = 248341248. Its totient is φ = 22713600.

The previous prime is 81290351. The next prime is 81290387. The reversal of 81290352 is 25309218.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81290351) 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 23 ways as a sum of consecutive naturals, for example, 88777 + ... + 89687.

Almost surely, 281290352 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 81290352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124170624).

81290352 is an abundant number, since it is smaller than the sum of its proper divisors (167050896).

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

81290352 is a wasteful number, since it uses less digits than its factorization.

81290352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 81290352 is about 9016.1162370502. The cubic root of 81290352 is about 433.1912423020.

The spelling of 81290352 in words is "eighty-one million, two hundred ninety thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 169 176 208 264 286 312 338 429 507 528 572 624 676 858 911 1014 1144 1352 1716 1822 1859 2028 2288 2704 2733 3432 3644 3718 4056 5466 5577 6864 7288 7436 8112 10021 10932 11154 11843 14576 14872 20042 21864 22308 23686 29744 30063 35529 40084 43728 44616 47372 60126 71058 80168 89232 94744 120252 130273 142116 153959 160336 189488 240504 260546 284232 307918 390819 461877 481008 521092 568464 615836 781638 923754 1042184 1231672 1563276 1693549 1847508 2084368 2463344 3126552 3387098 3695016 5080647 6253104 6774196 7390032 10161294 13548392 20322588 27096784 40645176 81290352