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81838746 = 232113711171
BaseRepresentation
bin1001110000011…
…00001010011010
312200222211122200
410320030022122
5131422314441
612042031030
72012421633
oct470141232
9180884580
1081838746
1142217730
12234a8476
1313c552c2
14ac2488a
1572b87b6
hex4e0c29a

81838746 has 48 divisors (see below), whose sum is σ = 198682848. Its totient is φ = 24127200.

The previous prime is 81838741. The next prime is 81838751. The reversal of 81838746 is 64783818.

It is an interprime number because it is at equal distance from previous prime (81838741) and next prime (81838751).

It is not an unprimeable number, because it can be changed into a prime (81838741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1741 + ... + 12911.

It is an arithmetic number, because the mean of its divisors is an integer number (4139226).

Almost surely, 281838746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81838746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99341424).

81838746 is an abundant number, since it is smaller than the sum of its proper divisors (116844102).

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

81838746 is a wasteful number, since it uses less digits than its factorization.

81838746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11227 (or 11224 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 81838746 is about 9046.4769938358. The cubic root of 81838746 is about 434.1631791691.

The spelling of 81838746 in words is "eighty-one million, eight hundred thirty-eight thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 7326 11171 22342 33513 67026 100539 122881 201078 245762 368643 413327 737286 826654 1105929 1239981 2211858 2479962 3719943 4546597 7439886 9093194 13639791 27279582 40919373 81838746