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81232242 = 23713374021
BaseRepresentation
bin1001101011110…
…00000101110010
312122212000200120
410311320011302
5131243412432
612021031110
72004314460
oct465700562
9178760616
1081232242
1141942a93
1223255496
1313aa2220
14ab07830
1571e8c2c
hex4d78172

81232242 has 64 divisors (see below), whose sum is σ = 205411584. Its totient is φ = 20839680.

The previous prime is 81232237. The next prime is 81232247. The reversal of 81232242 is 24223218.

It is an interprime number because it is at equal distance from previous prime (81232237) and next prime (81232247).

It is not an unprimeable number, because it can be changed into a prime (81232247) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 18192 + ... + 22212.

It is an arithmetic number, because the mean of its divisors is an integer number (3209556).

Almost surely, 281232242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81232242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102705792).

81232242 is an abundant number, since it is smaller than the sum of its proper divisors (124179342).

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

81232242 is a wasteful number, since it uses less digits than its factorization.

81232242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4083.

The product of its digits is 1536, while the sum is 24.

The square root of 81232242 is about 9012.8930982232. The cubic root of 81232242 is about 433.0879961682.

The spelling of 81232242 in words is "eighty-one million, two hundred thirty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 182 222 259 273 481 518 546 777 962 1443 1554 2886 3367 4021 6734 8042 10101 12063 20202 24126 28147 52273 56294 84441 104546 148777 156819 168882 297554 313638 365911 446331 731822 892662 1041439 1097733 1934101 2082878 2195466 3124317 3868202 5802303 6248634 11604606 13538707 27077414 40616121 81232242