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81429390 = 23257294457
BaseRepresentation
bin1001101101010…
…00001110001110
312200020001010100
410312220032032
5131321220030
612025151530
72006065320
oct466501616
9180201110
1081429390
1141a68119
122332b5a6
1313b40b93
14ab59610
157237360
hex4da838e

81429390 has 96 divisors (see below), whose sum is σ = 250361280. Its totient is φ = 17966592.

The previous prime is 81429379. The next prime is 81429409. The reversal of 81429390 is 9392418.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 16042 + ... + 20498.

It is an arithmetic number, because the mean of its divisors is an integer number (2607930).

Almost surely, 281429390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81429390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125180640).

81429390 is an abundant number, since it is smaller than the sum of its proper divisors (168931890).

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

81429390 is a wasteful number, since it uses less digits than its factorization.

81429390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4506 (or 4503 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 81429390 is about 9023.8234690180. The cubic root of 81429390 is about 433.4380765866.

The spelling of 81429390 in words is "eighty-one million, four hundred twenty-nine thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 29 30 35 42 45 58 63 70 87 90 105 126 145 174 203 210 261 290 315 406 435 522 609 630 870 1015 1218 1305 1827 2030 2610 3045 3654 4457 6090 8914 9135 13371 18270 22285 26742 31199 40113 44570 62398 66855 80226 93597 129253 133710 155995 187194 200565 258506 280791 311990 387759 401130 467985 561582 646265 775518 904771 935970 1163277 1292530 1403955 1809542 1938795 2326554 2714313 2807910 3877590 4523855 5428626 5816385 8142939 9047710 11632770 13571565 16285878 27143130 40714695 81429390