Search a number
-
+
81299808 = 2533731289
BaseRepresentation
bin1001101100010…
…00100101100000
312122222110101000
410312020211200
5131303043213
612022312000
72005015452
oct466104540
9178873330
1081299808
1141989827
1223288600
1313ac6bc5
14ab242d2
15720dc73
hex4d88960

81299808 has 96 divisors (see below), whose sum is σ = 240559200. Its totient is φ = 26707968.

The previous prime is 81299807. The next prime is 81299821. The reversal of 81299808 is 80899218.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81299807) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62428 + ... + 63716.

It is an arithmetic number, because the mean of its divisors is an integer number (2505825).

Almost surely, 281299808 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 81299808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120279600).

81299808 is an abundant number, since it is smaller than the sum of its proper divisors (159259392).

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

81299808 is a wasteful number, since it uses less digits than its factorization.

81299808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 81299808 is about 9016.6406161053. The cubic root of 81299808 is about 433.2080384632.

The spelling of 81299808 in words is "eighty-one million, two hundred ninety-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 73 96 108 144 146 216 219 288 292 432 438 584 657 864 876 1168 1289 1314 1752 1971 2336 2578 2628 3504 3867 3942 5156 5256 7008 7734 7884 10312 10512 11601 15468 15768 20624 21024 23202 30936 31536 34803 41248 46404 61872 63072 69606 92808 94097 123744 139212 185616 188194 278424 282291 371232 376388 556848 564582 752776 846873 1113696 1129164 1505552 1693746 2258328 2540619 3011104 3387492 4516656 5081238 6774984 9033312 10162476 13549968 20324952 27099936 40649904 81299808