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81874752 = 2634347211
BaseRepresentation
bin1001110000101…
…00111101000000
312201001200001020
410320110331000
5131424443002
612042505440
72012631621
oct470247500
9181050036
1081874752
1142241793
1223505280
1313c687cb
14ac33a48
1572c42bc
hex4e14f40

81874752 has 112 divisors (see below), whose sum is σ = 227453952. Its totient is φ = 25966080.

The previous prime is 81874739. The next prime is 81874759. The reversal of 81874752 is 25747818.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81874759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387927 + ... + 388137.

Almost surely, 281874752 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 81874752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113726976).

81874752 is an abundant number, since it is smaller than the sum of its proper divisors (145579200).

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

81874752 is a wasteful number, since it uses less digits than its factorization.

81874752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 306 counting only the distinct ones).

The product of its digits is 125440, while the sum is 42.

The square root of 81874752 is about 9048.4668314582. The cubic root of 81874752 is about 434.2268417095.

The spelling of 81874752 in words is "eighty-one million, eight hundred seventy-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 47 48 64 86 94 96 129 141 172 188 192 211 258 282 344 376 422 516 564 633 688 752 844 1032 1128 1266 1376 1504 1688 2021 2064 2256 2532 2752 3008 3376 4042 4128 4512 5064 6063 6752 8084 8256 9024 9073 9917 10128 12126 13504 16168 18146 19834 20256 24252 27219 29751 32336 36292 39668 40512 48504 54438 59502 64672 72584 79336 97008 108876 119004 129344 145168 158672 194016 217752 238008 290336 317344 388032 426431 435504 476016 580672 634688 852862 871008 952032 1279293 1705724 1742016 1904064 2558586 3411448 5117172 6822896 10234344 13645792 20468688 27291584 40937376 81874752