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81487296 = 2634111429
BaseRepresentation
bin1001101101101…
…10010111000000
312200022222120000
410312312113000
5131330043141
612030320000
72006426202
oct466662700
9180288500
1081487296
1141aa7680
1223359000
1313b61347
14ab72772
1572495b6
hex4db65c0

81487296 has 140 divisors (see below), whose sum is σ = 263697720. Its totient is φ = 24675840.

The previous prime is 81487271. The next prime is 81487349. The reversal of 81487296 is 69278418.

81487296 is a `hidden beast` number, since 81 + 487 + 2 + 96 = 666.

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 19 ways as a sum of consecutive naturals, for example, 56310 + ... + 57738.

Almost surely, 281487296 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 81487296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131848860).

81487296 is an abundant number, since it is smaller than the sum of its proper divisors (182210424).

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

81487296 is a wasteful number, since it uses less digits than its factorization.

81487296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1445 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 81487296 is about 9027.0314057280. The cubic root of 81487296 is about 433.5407942836.

The spelling of 81487296 in words is "eighty-one million, four hundred eighty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 132 144 162 176 192 198 216 264 288 297 324 352 396 432 528 576 594 648 704 792 864 891 1056 1188 1296 1429 1584 1728 1782 2112 2376 2592 2858 3168 3564 4287 4752 5184 5716 6336 7128 8574 9504 11432 12861 14256 15719 17148 19008 22864 25722 28512 31438 34296 38583 45728 47157 51444 57024 62876 68592 77166 91456 94314 102888 115749 125752 137184 141471 154332 188628 205776 231498 251504 274368 282942 308664 377256 411552 424413 462996 503008 565884 617328 754512 823104 848826 925992 1006016 1131768 1234656 1273239 1509024 1697652 1851984 2263536 2469312 2546478 3018048 3395304 3703968 4527072 5092956 6790608 7407936 9054144 10185912 13581216 20371824 27162432 40743648 81487296