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81457800 = 233521271069
BaseRepresentation
bin1001101101011…
…11001010001000
312200021111002120
410312233022020
5131323122200
612025531240
72006244204
oct466571210
9180244076
1081457800
1141a874a6
1223343b20
1313b50aa8
14ab65b04
1572409a0
hex4daf288

81457800 has 96 divisors (see below), whose sum is σ = 254745600. Its totient is φ = 21530880.

The previous prime is 81457799. The next prime is 81457811. The reversal of 81457800 is 875418.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 75666 + ... + 76734.

It is an arithmetic number, because the mean of its divisors is an integer number (2653600).

Almost surely, 281457800 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 81457800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127372800).

81457800 is an abundant number, since it is smaller than the sum of its proper divisors (173287800).

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

81457800 is a wasteful number, since it uses less digits than its factorization.

81457800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 81457800 is about 9025.3974981715. The cubic root of 81457800 is about 433.4884783066.

The spelling of 81457800 in words is "eighty-one million, four hundred fifty-seven thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 127 150 200 254 300 381 508 600 635 762 1016 1069 1270 1524 1905 2138 2540 3048 3175 3207 3810 4276 5080 5345 6350 6414 7620 8552 9525 10690 12700 12828 15240 16035 19050 21380 25400 25656 26725 32070 38100 42760 53450 64140 76200 80175 106900 128280 135763 160350 213800 271526 320700 407289 543052 641400 678815 814578 1086104 1357630 1629156 2036445 2715260 3258312 3394075 4072890 5430520 6788150 8145780 10182225 13576300 16291560 20364450 27152600 40728900 81457800