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81241566 = 23723372273
BaseRepresentation
bin1001101011110…
…10010111011110
312122212111110220
410311322113132
5131244212231
612021142210
72004353610
oct465722736
9178774426
1081241566
1141949a9a
122325a966
1313aa6543
14ab0adb0
1571eb896
hex4d7a5de

81241566 has 64 divisors (see below), whose sum is σ = 199093248. Its totient is φ = 21593088.

The previous prime is 81241553. The next prime is 81241571. The reversal of 81241566 is 66514218.

It is a super-2 number, since 2×812415662 = 13200384092264712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34606 + ... + 36878.

It is an arithmetic number, because the mean of its divisors is an integer number (3110832).

Almost surely, 281241566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81241566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99546624).

81241566 is an abundant number, since it is smaller than the sum of its proper divisors (117851682).

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

81241566 is a wasteful number, since it uses less digits than its factorization.

81241566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345.

The product of its digits is 11520, while the sum is 33.

The square root of 81241566 is about 9013.4103423732. The cubic root of 81241566 is about 433.1045657711.

The spelling of 81241566 in words is "eighty-one million, two hundred forty-one thousand, five hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 23 37 42 46 69 74 111 138 161 222 259 322 483 518 777 851 966 1554 1702 2273 2553 4546 5106 5957 6819 11914 13638 15911 17871 31822 35742 47733 52279 84101 95466 104558 156837 168202 252303 313674 365953 504606 588707 731906 1097859 1177414 1766121 1934323 2195718 3532242 3868646 5802969 11605938 13540261 27080522 40620783 81241566