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81313092 = 22337591823
BaseRepresentation
bin1001101100010…
…11110101000100
312200000010121000
410312023311010
5131304004332
612022453300
72005102260
oct466136504
9180003530
1081313092
1141998803
1223294230
1313accc73
14ab290a0
157212b7c
hex4d8bd44

81313092 has 96 divisors (see below), whose sum is σ = 245145600. Its totient is φ = 22826016.

The previous prime is 81313081. The next prime is 81313109. The reversal of 81313092 is 29031318.

It is a super-2 number, since 2×813130922 = 13223637861200928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 43693 + ... + 45515.

It is an arithmetic number, because the mean of its divisors is an integer number (2553600).

Almost surely, 281313092 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 81313092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122572800).

81313092 is an abundant number, since it is smaller than the sum of its proper divisors (163832508).

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

81313092 is a wasteful number, since it uses less digits than its factorization.

81313092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 81313092 is about 9017.3772240048. The cubic root of 81313092 is about 433.2316318858.

The spelling of 81313092 in words is "eighty-one million, three hundred thirteen thousand, ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 59 63 84 108 118 126 177 189 236 252 354 378 413 531 708 756 826 1062 1239 1593 1652 1823 2124 2478 3186 3646 3717 4956 5469 6372 7292 7434 10938 11151 12761 14868 16407 21876 22302 25522 32814 38283 44604 49221 51044 65628 76566 98442 107557 114849 153132 196884 215114 229698 322671 344547 430228 459396 645342 689094 752899 968013 1290684 1378188 1505798 1936026 2258697 2904039 3011596 3872052 4517394 5808078 6776091 9034788 11616156 13552182 20328273 27104364 40656546 81313092