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81857468 = 22711237653
BaseRepresentation
bin1001110000100…
…00101110111100
312201000210100002
410320100232330
5131423414333
612042253432
72012530340
oct470205674
9181023302
1081857468
114222a800
12234b7278
1313c60994
14ac2b620
1572be0e8
hex4e10bbc

81857468 has 72 divisors (see below), whose sum is σ = 185097696. Its totient is φ = 30983040.

The previous prime is 81857417. The next prime is 81857473. The reversal of 81857468 is 86475818.

It is a happy 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 23 ways as a sum of consecutive naturals, for example, 125030 + ... + 125682.

Almost surely, 281857468 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 81857468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92548848).

81857468 is an abundant number, since it is smaller than the sum of its proper divisors (103240228).

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

81857468 is a wasteful number, since it uses less digits than its factorization.

81857468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 710 counting only the distinct ones).

The product of its digits is 430080, while the sum is 47.

The square root of 81857468 is about 9047.5117021201. The cubic root of 81857468 is about 434.1962840397.

The spelling of 81857468 in words is "eighty-one million, eight hundred fifty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 37 44 74 77 121 148 154 242 259 308 407 484 518 653 814 847 1036 1306 1628 1694 2612 2849 3388 4477 4571 5698 7183 8954 9142 11396 14366 17908 18284 24161 28732 31339 48322 50281 62678 79013 96644 100562 125356 158026 169127 201124 265771 316052 338254 531542 553091 676508 1063084 1106182 1860397 2212364 2923481 3720794 5846962 7441588 11693924 20464367 40928734 81857468