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85856736 = 2537127763
BaseRepresentation
bin1010001111000…
…01000111100000
312222112222022010
411013201013200
5133434403421
612304112520
72061525120
oct507410740
9188488263
1085856736
1144511489
1224905740
1314a31104
14b58cc80
15780e076
hex51e11e0

85856736 has 48 divisors (see below), whose sum is σ = 257572224. Its totient is φ = 24530304.

The previous prime is 85856717. The next prime is 85856773. The reversal of 85856736 is 63765858.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 63210 + ... + 64553.

It is an arithmetic number, because the mean of its divisors is an integer number (5366088).

Almost surely, 285856736 is an apocalyptic number.

It is an amenable number.

85856736 is an abundant number, since it is smaller than the sum of its proper divisors (171715488).

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

85856736 is a wasteful number, since it uses less digits than its factorization.

85856736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127783 (or 127775 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 85856736 is about 9265.8909987113. The cubic root of 85856736 is about 441.1552561365.

The spelling of 85856736 in words is "eighty-five million, eight hundred fifty-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 127763 255526 383289 511052 766578 894341 1022104 1533156 1788682 2044208 2683023 3066312 3577364 4088416 5366046 6132624 7154728 10732092 12265248 14309456 21464184 28618912 42928368 85856736