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81228042 = 2337239343
BaseRepresentation
bin1001101011101…
…11000100001010
312122211210221000
410311313010022
5131243244132
612020555430
72004266310
oct465670412
9178753830
1081228042
114193a915
1223252b76
1313aa033c
14ab060b0
1571e787c
hex4d7710a

81228042 has 64 divisors (see below), whose sum is σ = 215285760. Its totient is φ = 22196592.

The previous prime is 81228041. The next prime is 81228071. The reversal of 81228042 is 24082218.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 81227997 and 81228015.

It is not an unprimeable number, because it can be changed into a prime (81228041) 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, 4023 + ... + 13365.

It is an arithmetic number, because the mean of its divisors is an integer number (3363840).

Almost surely, 281228042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81228042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107642880).

81228042 is an abundant number, since it is smaller than the sum of its proper divisors (134057718).

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

81228042 is a wasteful number, since it uses less digits than its factorization.

81228042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9384 (or 9378 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 81228042 is about 9012.6600956654. The cubic root of 81228042 is about 433.0805319689.

The spelling of 81228042 in words is "eighty-one million, two hundred twenty-eight thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 126 138 161 189 207 322 378 414 483 621 966 1242 1449 2898 4347 8694 9343 18686 28029 56058 65401 84087 130802 168174 196203 214889 252261 392406 429778 504522 588609 644667 1177218 1289334 1504223 1765827 1934001 3008446 3531654 3868002 4512669 5802003 9025338 11604006 13538007 27076014 40614021 81228042