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81317392 = 24132172961
BaseRepresentation
bin1001101100011…
…00111000010000
312200000100111021
410312030320100
5131304124032
612022525224
72005120642
oct466147020
9180010437
1081317392
11419a0a62
1223296814
1313b01c00
14ab2a892
157214097
hex4d8ce10

81317392 has 120 divisors (see below), whose sum is σ = 189932040. Its totient is φ = 33546240.

The previous prime is 81317389. The next prime is 81317393. The reversal of 81317392 is 29371318.

It can be written as a sum of positive squares in 12 ways, for example, as 51897616 + 29419776 = 7204^2 + 5424^2 .

It is a super-2 number, since 2×813173922 = 13225036483363328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (81317393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1333042 + ... + 1333102.

It is an arithmetic number, because the mean of its divisors is an integer number (1582767).

Almost surely, 281317392 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 81317392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94966020).

81317392 is an abundant number, since it is smaller than the sum of its proper divisors (108614648).

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

81317392 is a wasteful number, since it uses less digits than its factorization.

81317392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 122 counting only the distinct ones).

The product of its digits is 9072, while the sum is 34.

The square root of 81317392 is about 9017.6156493832. The cubic root of 81317392 is about 433.2392684714.

The spelling of 81317392 in words is "eighty-one million, three hundred seventeen thousand, three hundred ninety-two".

Divisors: 1 2 4 8 13 16 17 26 29 34 52 58 61 68 104 116 122 136 169 208 221 232 244 272 338 377 442 464 488 493 676 754 793 884 976 986 1037 1352 1508 1586 1768 1769 1972 2074 2704 2873 3016 3172 3536 3538 3944 4148 4901 5746 6032 6344 6409 7076 7888 8296 9802 10309 11492 12688 12818 13481 14152 16592 19604 20618 22984 22997 25636 26962 28304 30073 39208 41236 45968 45994 51272 53924 60146 78416 82472 83317 91988 102544 107848 120292 164944 166634 175253 183976 215696 240584 298961 333268 350506 367952 390949 481168 597922 666536 701012 781898 1195844 1333072 1402024 1563796 2391688 2804048 3127592 4783376 5082337 6255184 10164674 20329348 40658696 81317392