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81945480 = 233519127283
BaseRepresentation
bin1001110001001…
…10001110001000
312201012021001210
410320212032020
5131434223410
612044213120
72013345051
oct470461610
9181167053
1081945480
114228a941
122353a1a0
1313c91a66
14ac51728
1572da220
hex4e26388

81945480 has 128 divisors (see below), whose sum is σ = 261734400. Its totient is φ = 20466432.

The previous prime is 81945469. The next prime is 81945517. The reversal of 81945480 is 8454918.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 289419 + ... + 289701.

It is an arithmetic number, because the mean of its divisors is an integer number (2044800).

Almost surely, 281945480 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 81945480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130867200).

81945480 is an abundant number, since it is smaller than the sum of its proper divisors (179788920).

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

81945480 is a wasteful number, since it uses less digits than its factorization.

81945480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 81945480 is about 9052.3742741891. The cubic root of 81945480 is about 434.3518422173.

The spelling of 81945480 in words is "eighty-one million, nine hundred forty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 127 152 190 228 254 283 285 380 381 456 508 566 570 635 760 762 849 1016 1132 1140 1270 1415 1524 1698 1905 2264 2280 2413 2540 2830 3048 3396 3810 4245 4826 5080 5377 5660 6792 7239 7620 8490 9652 10754 11320 12065 14478 15240 16131 16980 19304 21508 24130 26885 28956 32262 33960 35941 36195 43016 48260 53770 57912 64524 71882 72390 80655 96520 107540 107823 129048 143764 144780 161310 179705 215080 215646 287528 289560 322620 359410 431292 539115 645240 682879 718820 862584 1078230 1365758 1437640 2048637 2156460 2731516 3414395 4097274 4312920 5463032 6828790 8194548 10243185 13657580 16389096 20486370 27315160 40972740 81945480