Search a number
-
+
81544914 = 233111071283
BaseRepresentation
bin1001101110001…
…00011011010010
312200102220121000
410313010123102
5131333414124
612031442430
72010056163
oct467043322
9180386530
1081544914
11420369a0
1223386416
1313b81639
14ab8976a
15725b6c9
hex4dc46d2

81544914 has 64 divisors (see below), whose sum is σ = 199687680. Its totient is φ = 24460560.

The previous prime is 81544909. The next prime is 81544919. The reversal of 81544914 is 41944518.

It is an interprime number because it is at equal distance from previous prime (81544909) and next prime (81544919).

It is not an unprimeable number, because it can be changed into a prime (81544919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62917 + ... + 64199.

It is an arithmetic number, because the mean of its divisors is an integer number (3120120).

Almost surely, 281544914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81544914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99843840).

81544914 is an abundant number, since it is smaller than the sum of its proper divisors (118142766).

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

81544914 is a wasteful number, since it uses less digits than its factorization.

81544914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1406 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 81544914 is about 9030.2222564010. Note that the first 4 decimals coincide. The cubic root of 81544914 is about 433.6429528182.

The spelling of 81544914 in words is "eighty-one million, five hundred forty-four thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 107 198 214 297 321 594 642 963 1177 1283 1926 2354 2566 2889 3531 3849 5778 7062 7698 10593 11547 14113 21186 23094 28226 31779 34641 42339 63558 69282 84678 127017 137281 254034 274562 381051 411843 762102 823686 1235529 1510091 2471058 3020182 3706587 4530273 7413174 9060546 13590819 27181638 40772457 81544914