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85547400 = 23352178387
BaseRepresentation
bin1010001100101…
…01100110001000
312221222020222020
411012111212020
5133400004100
612253324440
72056066221
oct506254610
9187866866
1085547400
1144320034
1224796720
1314953383
14b50c248
15779c5a0
hex5195988

85547400 has 96 divisors (see below), whose sum is σ = 280830240. Its totient is φ = 21468160.

The previous prime is 85547393. The next prime is 85547401. The reversal of 85547400 is 474558.

It is not an unprimeable number, because it can be changed into a prime (85547401) by changing a digit.

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, 6007 + ... + 14393.

It is an arithmetic number, because the mean of its divisors is an integer number (2925315).

Almost surely, 285547400 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 85547400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140415120).

85547400 is an abundant number, since it is smaller than the sum of its proper divisors (195282840).

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

85547400 is a wasteful number, since it uses less digits than its factorization.

85547400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8423 (or 8414 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 85547400 is about 9249.1837477693. The cubic root of 85547400 is about 440.6248010663.

The spelling of 85547400 in words is "eighty-five million, five hundred forty-seven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1020 1275 1700 2040 2550 3400 5100 8387 10200 16774 25161 33548 41935 50322 67096 83870 100644 125805 142579 167740 201288 209675 251610 285158 335480 419350 427737 503220 570316 629025 712895 838700 855474 1006440 1140632 1258050 1425790 1677400 1710948 2138685 2516100 2851580 3421896 3564475 4277370 5032200 5703160 7128950 8554740 10693425 14257900 17109480 21386850 28515800 42773700 85547400