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81445824 = 26355237
BaseRepresentation
bin1001101101011…
…00001111000000
312200020212200000
410312230033000
5131322231244
612025400000
72006164245
oct466541700
9180225600
1081445824
1141a794a9
1223339000
1313b484c5
14ab615cc
15723c169
hex4dac3c0

81445824 has 84 divisors (see below), whose sum is σ = 242142264. Its totient is φ = 27143424.

The previous prime is 81445817. The next prime is 81445841. The reversal of 81445824 is 42854418.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12934 + ... + 18170.

It is an arithmetic number, because the mean of its divisors is an integer number (2882646).

Almost surely, 281445824 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 81445824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121071132).

81445824 is an abundant number, since it is smaller than the sum of its proper divisors (160696440).

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

81445824 is an equidigital number, since it uses as much as digits as its factorization.

81445824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5264 (or 5242 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 81445824 is about 9024.7340127009. The cubic root of 81445824 is about 433.4672333084.

The spelling of 81445824 in words is "eighty-one million, four hundred forty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 5237 7776 10474 15552 15711 20948 31422 41896 47133 62844 83792 94266 125688 141399 167584 188532 251376 282798 335168 377064 424197 502752 565596 754128 848394 1005504 1131192 1272591 1508256 1696788 2262384 2545182 3016512 3393576 4524768 5090364 6787152 9049536 10180728 13574304 20361456 27148608 40722912 81445824