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85695288 = 23374710853
BaseRepresentation
bin1010001101110…
…01101100111000
312222020202211120
411012321230320
5133414222123
612300425240
72060253330
oct506715470
9188222746
1085695288
1144411158
1224848220
13149a5793
14b54a0c0
1577cb2e3
hex51b9b38

85695288 has 64 divisors (see below), whose sum is σ = 250076160. Its totient is φ = 23961216.

The previous prime is 85695287. The next prime is 85695343. The reversal of 85695288 is 88259658.

It is a self number, because there is not a number n which added to its sum of digits gives 85695288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85695287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2470 + ... + 13322.

It is an arithmetic number, because the mean of its divisors is an integer number (3907440).

Almost surely, 285695288 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 85695288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125038080).

85695288 is an abundant number, since it is smaller than the sum of its proper divisors (164380872).

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

85695288 is a wasteful number, since it uses less digits than its factorization.

85695288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10916 (or 10912 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 51.

The square root of 85695288 is about 9257.1749470343. The cubic root of 85695288 is about 440.8785613866.

The spelling of 85695288 in words is "eighty-five million, six hundred ninety-five thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 141 168 188 282 329 376 564 658 987 1128 1316 1974 2632 3948 7896 10853 21706 32559 43412 65118 75971 86824 130236 151942 227913 260472 303884 455826 510091 607768 911652 1020182 1530273 1823304 2040364 3060546 3570637 4080728 6121092 7141274 10711911 12242184 14282548 21423822 28565096 42847644 85695288