Search a number
-
+
81687744 = 2633411153
BaseRepresentation
bin1001101111001…
…11010011000000
312200201011112000
410313213103000
5131403001434
612034504000
72011222455
oct467472300
9180634460
1081687744
1142124236
1223435000
1313c01658
14abc582c
157288b99
hex4de74c0

81687744 has 112 divisors (see below), whose sum is σ = 246217440. Its totient is φ = 26542080.

The previous prime is 81687733. The next prime is 81687763. The reversal of 81687744 is 44778618.

It is a self number, because there is not a number n which added to its sum of digits gives 81687744.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 70272 + ... + 71424.

It is an arithmetic number, because the mean of its divisors is an integer number (2198370).

Almost surely, 281687744 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 81687744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123108720).

81687744 is an abundant number, since it is smaller than the sum of its proper divisors (164529696).

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

81687744 is a wasteful number, since it uses less digits than its factorization.

81687744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1199 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 81687744 is about 9038.1272396443. The cubic root of 81687744 is about 433.8959875897.

The spelling of 81687744 in words is "eighty-one million, six hundred eighty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 82 96 108 123 144 164 192 216 246 288 328 369 432 492 576 656 738 864 984 1107 1153 1312 1476 1728 1968 2214 2306 2624 2952 3459 3936 4428 4612 5904 6918 7872 8856 9224 10377 11808 13836 17712 18448 20754 23616 27672 31131 35424 36896 41508 47273 55344 62262 70848 73792 83016 94546 110688 124524 141819 166032 189092 221376 249048 283638 332064 378184 425457 498096 567276 664128 756368 850914 996192 1134552 1276371 1512736 1701828 1992384 2269104 2552742 3025472 3403656 4538208 5105484 6807312 9076416 10210968 13614624 20421936 27229248 40843872 81687744