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81651456 = 283311813
BaseRepresentation
bin1001101110111…
…10011100000000
312200122022202000
410313132130000
5131400321311
612034024000
72011011615
oct467363400
9180568660
1081651456
11420a9a47
1223418000
1313bbac93
14abb650c
15727d056
hex4dde700

81651456 has 72 divisors (see below), whose sum is σ = 241478160. Its totient is φ = 27214848.

The previous prime is 81651433. The next prime is 81651467. The reversal of 81651456 is 65415618.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 81651456.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1006 + ... + 12818.

Almost surely, 281651456 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 81651456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120739080).

81651456 is an abundant number, since it is smaller than the sum of its proper divisors (159826704).

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

81651456 is a wasteful number, since it uses less digits than its factorization.

81651456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11838 (or 11818 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 81651456 is about 9036.1195211219. The cubic root of 81651456 is about 433.8317284614.

The spelling of 81651456 in words is "eighty-one million, six hundred fifty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 11813 23626 35439 47252 70878 94504 106317 141756 189008 212634 283512 318951 378016 425268 567024 637902 756032 850536 1134048 1275804 1512064 1701072 2268096 2551608 3024128 3402144 4536192 5103216 6804288 9072384 10206432 13608576 20412864 27217152 40825728 81651456