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81457712 = 24719101379
BaseRepresentation
bin1001101101011…
…11001000110000
312200021110222022
410312233020300
5131323121322
612025531012
72006244020
oct466571060
9180243868
1081457712
1141a87426
1223343a68
1313b50a3b
14ab65a80
157240942
hex4daf230

81457712 has 80 divisors (see below), whose sum is σ = 192249600. Its totient is φ = 32659200.

The previous prime is 81457711. The next prime is 81457799. The reversal of 81457712 is 21775418.

It is not an unprimeable number, because it can be changed into a prime (81457711) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 214739 + ... + 215117.

It is an arithmetic number, because the mean of its divisors is an integer number (2403120).

Almost surely, 281457712 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 81457712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96124800).

81457712 is an abundant number, since it is smaller than the sum of its proper divisors (110791888).

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

81457712 is a wasteful number, since it uses less digits than its factorization.

81457712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 508 counting only the distinct ones).

The product of its digits is 15680, while the sum is 35.

The square root of 81457712 is about 9025.3926230386. The cubic root of 81457712 is about 433.4883222053.

The spelling of 81457712 in words is "eighty-one million, four hundred fifty-seven thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 101 112 133 152 202 266 304 379 404 532 707 758 808 1064 1414 1516 1616 1919 2128 2653 2828 3032 3838 5306 5656 6064 7201 7676 10612 11312 13433 14402 15352 21224 26866 28804 30704 38279 42448 50407 53732 57608 76558 100814 107464 115216 153116 201628 214928 267953 306232 403256 535906 612464 727301 806512 1071812 1454602 2143624 2909204 4287248 5091107 5818408 10182214 11636816 20364428 40728856 81457712