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85852720 = 2451763127
BaseRepresentation
bin1010001111000…
…00001000110000
312222112202210101
411013200020300
5133434241340
612304042144
72061510322
oct507401060
9188482711
1085852720
1144509468
1224903354
1314a2c335
14b58b612
15780cc9a
hex51e0230

85852720 has 40 divisors (see below), whose sum is σ = 211352544. Its totient is φ = 32320512.

The previous prime is 85852709. The next prime is 85852747. The reversal of 85852720 is 2725858.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 85852720.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30204 + ... + 32923.

Almost surely, 285852720 is an apocalyptic number.

85852720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85852720 is an abundant number, since it is smaller than the sum of its proper divisors (125499824).

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

85852720 is a wasteful number, since it uses less digits than its factorization.

85852720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63157 (or 63151 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 37.

The square root of 85852720 is about 9265.6742873900. The cubic root of 85852720 is about 441.1483775959.

The spelling of 85852720 in words is "eighty-five million, eight hundred fifty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 63127 126254 252508 315635 505016 631270 1010032 1073159 1262540 2146318 2525080 4292636 5050160 5365795 8585272 10731590 17170544 21463180 42926360 85852720