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81855004 = 22711318573
BaseRepresentation
bin1001110000100…
…00001000011100
312201000122221211
410320100020130
5131423330004
612042234204
72012520220
oct470201034
9181018854
1081855004
1142228970
12234b5964
1313c5c81a
14ac2a780
1572bd504
hex4e1021c

81855004 has 48 divisors (see below), whose sum is σ = 184375296. Its totient is φ = 30859200.

The previous prime is 81854987. The next prime is 81855013. The reversal of 81855004 is 40055818.

81855004 = T1280 + T1281 + ... + T1372.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5262 + ... + 13834.

It is an arithmetic number, because the mean of its divisors is an integer number (3841152).

Almost surely, 281855004 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 81855004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92187648).

81855004 is an abundant number, since it is smaller than the sum of its proper divisors (102520292).

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

81855004 is a wasteful number, since it uses less digits than its factorization.

81855004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8626 (or 8624 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 31.

The square root of 81855004 is about 9047.3755310587. The cubic root of 81855004 is about 434.1919274004.

The spelling of 81855004 in words is "eighty-one million, eight hundred fifty-five thousand, four".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 77 124 154 217 308 341 434 682 868 1364 2387 4774 8573 9548 17146 34292 60011 94303 120022 188606 240044 265763 377212 531526 660121 1063052 1320242 1860341 2640484 2923393 3720682 5846786 7441364 11693572 20463751 40927502 81855004