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81855090 = 23351571931
BaseRepresentation
bin1001110000100…
…00001001110010
312201000200002000
410320100021302
5131423330330
612042234430
72012520402
oct470201162
9181020060
1081855090
1142228a39
12234b5a16
1313c5c885
14ac2a802
1572bd560
hex4e10272

81855090 has 64 divisors (see below), whose sum is σ = 219784320. Its totient is φ = 21677760.

The previous prime is 81855079. The next prime is 81855113. The reversal of 81855090 is 9055818.

81855090 is a `hidden beast` number, since 8 + 18 + 550 + 90 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41425 + ... + 43355.

It is an arithmetic number, because the mean of its divisors is an integer number (3434130).

Almost surely, 281855090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81855090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109892160).

81855090 is an abundant number, since it is smaller than the sum of its proper divisors (137929230).

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

81855090 is a wasteful number, since it uses less digits than its factorization.

81855090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 81855090 is about 9047.3802838170. The cubic root of 81855090 is about 434.1920794599.

The spelling of 81855090 in words is "eighty-one million, eight hundred fifty-five thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 157 270 314 471 785 942 1413 1570 1931 2355 2826 3862 4239 4710 5793 7065 8478 9655 11586 14130 17379 19310 21195 28965 34758 42390 52137 57930 86895 104274 173790 260685 303167 521370 606334 909501 1515835 1819002 2728503 3031670 4547505 5457006 8185509 9095010 13642515 16371018 27285030 40927545 81855090