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85853136 = 2433157697
BaseRepresentation
bin1010001111000…
…00001111010000
312222112210100210
411013200033100
5133434300021
612304044120
72061511455
oct507401720
9188483323
1085853136
1144509806
1224903640
1314a2c595
14b58b82c
15780ce76
hex51e03d0

85853136 has 40 divisors (see below), whose sum is σ = 228945664. Its totient is φ = 27694080.

The previous prime is 85853107. The next prime is 85853147. The reversal of 85853136 is 63135858.

It is a super-2 number, since 2×858531362 = 14741521922068992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85853094 and 85853103.

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, 27361 + ... + 30336.

Almost surely, 285853136 is an apocalyptic number.

It is an amenable number.

85853136 is an abundant number, since it is smaller than the sum of its proper divisors (143092528).

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

85853136 is a wasteful number, since it uses less digits than its factorization.

85853136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57739 (or 57733 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 85853136 is about 9265.6967358100. The cubic root of 85853136 is about 441.1490901240.

The spelling of 85853136 in words is "eighty-five million, eight hundred fifty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 57697 115394 173091 230788 346182 461576 692364 923152 1384728 1788607 2769456 3577214 5365821 7154428 10731642 14308856 21463284 28617712 42926568 85853136