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81878280 = 23351125639
BaseRepresentation
bin1001110000101…
…01110100001000
312201001211212220
410320111310020
5131430101110
612042534040
72012645121
oct470256410
9181054786
1081878280
1142244400
1223507320
1313c6a2b3
14ac35048
1572c5370
hex4e15d08

81878280 has 96 divisors (see below), whose sum is σ = 270043200. Its totient is φ = 19845760.

The previous prime is 81878261. The next prime is 81878311. The reversal of 81878280 is 8287818.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 11701 + ... + 17339.

It is an arithmetic number, because the mean of its divisors is an integer number (2812950).

Almost surely, 281878280 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 81878280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135021600).

81878280 is an abundant number, since it is smaller than the sum of its proper divisors (188164920).

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

81878280 is a wasteful number, since it uses less digits than its factorization.

81878280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5675 (or 5660 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 42.

The square root of 81878280 is about 9048.6617795119. The cubic root of 81878280 is about 434.2330785947.

The spelling of 81878280 in words is "eighty-one million, eight hundred seventy-eight thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 968 1210 1320 1452 1815 2420 2904 3630 4840 5639 7260 11278 14520 16917 22556 28195 33834 45112 56390 62029 67668 84585 112780 124058 135336 169170 186087 225560 248116 310145 338340 372174 496232 620290 676680 682319 744348 930435 1240580 1364638 1488696 1860870 2046957 2481160 2729276 3411595 3721740 4093914 5458552 6823190 7443480 8187828 10234785 13646380 16375656 20469570 27292760 40939140 81878280