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81313648 = 2413232739
BaseRepresentation
bin1001101100010…
…11111101110000
312200000011100121
410312023331300
5131304014043
612022500024
72005104013
oct466137560
9180004317
1081313648
1141999169
1223294614
1313b002b0
14ab2937a
157212ded
hex4d8bf70

81313648 has 60 divisors (see below), whose sum is σ = 177601480. Its totient is φ = 35849088.

The previous prime is 81313643. The next prime is 81313649. The reversal of 81313648 is 84631318.

It is a super-2 number, since 2×813136482 = 13223818702135808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81313643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109663 + ... + 110401.

Almost surely, 281313648 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 81313648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88800740).

81313648 is an abundant number, since it is smaller than the sum of its proper divisors (96287832).

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

81313648 is a wasteful number, since it uses less digits than its factorization.

81313648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 777 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The square root of 81313648 is about 9017.4080533155. The cubic root of 81313648 is about 433.2326193292.

The spelling of 81313648 in words is "eighty-one million, three hundred thirteen thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 529 598 739 1058 1196 1478 2116 2392 2956 4232 4784 5912 6877 8464 9607 11824 13754 16997 19214 27508 33994 38428 55016 67988 76856 110032 135976 153712 220961 271952 390931 441922 781862 883844 1563724 1767688 3127448 3535376 5082103 6254896 10164206 20328412 40656824 81313648