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81318048 = 2537259293
BaseRepresentation
bin1001101100011…
…01000010100000
312200000101101120
410312031002200
5131304134143
612022532240
72005122600
oct466150240
9180011346
1081318048
11419a14a9
1223297080
1313b022b6
14ab2ac00
157214383
hex4d8d0a0

81318048 has 144 divisors (see below), whose sum is σ = 253380960. Its totient is φ = 22761984.

The previous prime is 81318023. The next prime is 81318067. The reversal of 81318048 is 84081318.

It is a happy number.

It is a super-2 number, since 2×813180482 = 13225249861060608, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277390 + ... + 277682.

It is an arithmetic number, because the mean of its divisors is an integer number (1759590).

Almost surely, 281318048 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 81318048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126690480).

81318048 is an abundant number, since it is smaller than the sum of its proper divisors (172062912).

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

81318048 is a wasteful number, since it uses less digits than its factorization.

81318048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 81318048 is about 9017.6520225611. The cubic root of 81318048 is about 433.2404334711.

The spelling of 81318048 in words is "eighty-one million, three hundred eighteen thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 59 84 96 98 112 118 147 168 177 196 224 236 293 294 336 354 392 413 472 586 588 672 708 784 826 879 944 1172 1176 1239 1416 1568 1652 1758 1888 2051 2344 2352 2478 2832 2891 3304 3516 4102 4688 4704 4956 5664 5782 6153 6608 7032 8204 8673 9376 9912 11564 12306 13216 14064 14357 16408 17287 17346 19824 23128 24612 28128 28714 32816 34574 34692 39648 43071 46256 49224 51861 57428 65632 69148 69384 86142 92512 98448 103722 114856 121009 138296 138768 172284 196896 207444 229712 242018 276592 277536 344568 363027 414888 459424 484036 553184 689136 726054 829776 847063 968072 1378272 1452108 1659552 1694126 1936144 2541189 2904216 3388252 3872288 5082378 5808432 6776504 10164756 11616864 13553008 20329512 27106016 40659024 81318048