Search a number
-
+
81287388 = 2235713919
BaseRepresentation
bin1001101100001…
…01100011011100
312122221211100000
410312011203130
5131302144023
612022134300
72004634320
oct466054334
9178854300
1081287388
1141980466
1223281390
1313ac1360
14ab1d980
15720a243
hex4d858dc

81287388 has 144 divisors (see below), whose sum is σ = 262545920. Its totient is φ = 21415104.

The previous prime is 81287383. The next prime is 81287407. The reversal of 81287388 is 88378218.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81287383) 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 47 ways as a sum of consecutive naturals, for example, 87993 + ... + 88911.

Almost surely, 281287388 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 81287388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131272960).

81287388 is an abundant number, since it is smaller than the sum of its proper divisors (181258532).

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

81287388 is a wasteful number, since it uses less digits than its factorization.

81287388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 944 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 81287388 is about 9015.9518632255. The cubic root of 81287388 is about 433.1859772473.

The spelling of 81287388 in words is "eighty-one million, two hundred eighty-seven thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 243 252 273 324 351 364 378 468 486 546 567 702 756 819 919 972 1053 1092 1134 1404 1638 1701 1838 2106 2268 2457 2757 3159 3276 3402 3676 4212 4914 5514 6318 6433 6804 7371 8271 9828 11028 11947 12636 12866 14742 16542 19299 22113 23894 24813 25732 29484 33084 35841 38598 44226 47788 49626 57897 71682 74439 77196 83629 88452 99252 107523 115794 143364 148878 167258 173691 215046 223317 231588 250887 297756 322569 334516 347382 430092 446634 501774 521073 645138 694764 752661 893268 967707 1003548 1042146 1290276 1505322 1563219 1935414 2084292 2257983 2903121 3010644 3126438 3870828 4515966 5806242 6252876 6773949 9031932 11612484 13547898 20321847 27095796 40643694 81287388