Search a number
-
+
81452844 = 223311223271
BaseRepresentation
bin1001101101011…
…01111100101100
312200021020022000
410312231330230
5131322442334
612025452300
72006223564
oct466557454
9180236260
1081452844
1141a83800
1223341090
1313b4b765
14ab63da4
15723e299
hex4dadf2c

81452844 has 144 divisors (see below), whose sum is σ = 243102720. Its totient is φ = 23522400.

The previous prime is 81452843. The next prime is 81452857. The reversal of 81452844 is 44825418.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 81452799 and 81452808.

It is not an unprimeable number, because it can be changed into a prime (81452843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300429 + ... + 300699.

Almost surely, 281452844 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 81452844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121551360).

81452844 is an abundant number, since it is smaller than the sum of its proper divisors (161649876).

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

81452844 is a wasteful number, since it uses less digits than its factorization.

81452844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 310 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 81452844 is about 9025.1229354508. The cubic root of 81452844 is about 433.4796867914.

The spelling of 81452844 in words is "eighty-one million, four hundred fifty-two thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 27 33 36 44 46 54 66 69 92 99 108 121 132 138 198 207 242 253 271 276 297 363 396 414 484 506 542 594 621 726 759 813 828 1012 1084 1089 1188 1242 1452 1518 1626 2178 2277 2439 2484 2783 2981 3036 3252 3267 4356 4554 4878 5566 5962 6233 6534 6831 7317 8349 8943 9108 9756 11132 11924 12466 13068 13662 14634 16698 17886 18699 24932 25047 26829 27324 29268 32791 33396 35772 37398 50094 53658 56097 65582 68563 74796 75141 80487 98373 100188 107316 112194 131164 137126 150282 160974 168291 196746 205689 224388 274252 295119 300564 321948 336582 393492 411378 590238 617067 673164 754193 822756 885357 1180476 1234134 1508386 1770714 1851201 2262579 2468268 3016772 3541428 3702402 4525158 6787737 7404804 9050316 13575474 20363211 27150948 40726422 81452844