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85936088 = 23717194751
BaseRepresentation
bin1010001111101…
…00011111011000
312222201000011002
411013310133120
5133444423323
612305524132
72062305350
oct507643730
9188630132
1085936088
1144566067
1224943648
1314a5b274
14b5adb60
157827828
hex51f47d8

85936088 has 64 divisors (see below), whose sum is σ = 205286400. Its totient is φ = 32832000.

The previous prime is 85936079. The next prime is 85936091. The reversal of 85936088 is 88063958.

It is a super-2 number, since 2×859360882 = 14770022441487488, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15713 + ... + 20463.

It is an arithmetic number, because the mean of its divisors is an integer number (3207600).

Almost surely, 285936088 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 85936088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102643200).

85936088 is an abundant number, since it is smaller than the sum of its proper divisors (119350312).

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

85936088 is a wasteful number, since it uses less digits than its factorization.

85936088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4800 (or 4796 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 47.

The square root of 85936088 is about 9270.1719509403. The cubic root of 85936088 is about 441.2911250047.

The spelling of 85936088 in words is "eighty-five million, nine hundred thirty-six thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 17 19 28 34 38 56 68 76 119 133 136 152 238 266 323 476 532 646 952 1064 1292 2261 2584 4522 4751 9044 9502 18088 19004 33257 38008 66514 80767 90269 133028 161534 180538 266056 323068 361076 565369 631883 646136 722152 1130738 1263766 1534573 2261476 2527532 3069146 4522952 5055064 6138292 10742011 12276584 21484022 42968044 85936088