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81777648 = 24311315077
BaseRepresentation
bin1001101111111…
…01001111110000
312200212201211210
410313331033300
5131413341043
612040440120
72012045541
oct467751760
9180781753
1081777648
1142185837
1223479040
1313c33554
14ac0a4c8
1572a5633
hex4dfd3f0

81777648 has 40 divisors (see below), whose sum is σ = 213142608. Its totient is φ = 27016192.

The previous prime is 81777643. The next prime is 81777649. The reversal of 81777648 is 84677718.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 81777597 and 81777606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81777643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2115 + ... + 12962.

Almost surely, 281777648 is an apocalyptic number.

It is an amenable number.

81777648 is an abundant number, since it is smaller than the sum of its proper divisors (131364960).

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

81777648 is a wasteful number, since it uses less digits than its factorization.

81777648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15201 (or 15195 counting only the distinct ones).

The product of its digits is 526848, while the sum is 48.

The square root of 81777648 is about 9043.0994686556. The cubic root of 81777648 is about 434.0551084927.

The spelling of 81777648 in words is "eighty-one million, seven hundred seventy-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 678 904 1356 1808 2712 5424 15077 30154 45231 60308 90462 120616 180924 241232 361848 723696 1703701 3407402 5111103 6814804 10222206 13629608 20444412 27259216 40888824 81777648