Search a number
-
+
81853368 = 233171910559
BaseRepresentation
bin1001110000011…
…11101110111000
312201000120201020
410320033232320
5131423301433
612042222440
72012512362
oct470175670
9181016636
1081853368
1142227713
12234b4a20
1313c5bb5c
14ac29d32
1572bccb3
hex4e0fbb8

81853368 has 64 divisors (see below), whose sum is σ = 228096000. Its totient is φ = 24325632.

The previous prime is 81853357. The next prime is 81853391. The reversal of 81853368 is 86335818.

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, 2473 + ... + 13031.

It is an arithmetic number, because the mean of its divisors is an integer number (3564000).

Almost surely, 281853368 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 81853368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114048000).

81853368 is an abundant number, since it is smaller than the sum of its proper divisors (146242632).

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

81853368 is a wasteful number, since it uses less digits than its factorization.

81853368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10604 (or 10600 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 81853368 is about 9047.2851176472. The cubic root of 81853368 is about 434.1890347134.

The spelling of 81853368 in words is "eighty-one million, eight hundred fifty-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 102 114 136 152 204 228 323 408 456 646 969 1292 1938 2584 3876 7752 10559 21118 31677 42236 63354 84472 126708 179503 200621 253416 359006 401242 538509 601863 718012 802484 1077018 1203726 1436024 1604968 2154036 2407452 3410557 4308072 4814904 6821114 10231671 13642228 20463342 27284456 40926684 81853368