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85867650 = 232521121983
BaseRepresentation
bin1010001111000…
…11110010000010
312222120112021100
411013203302002
5133440231100
612304235230
72061602001
oct507436202
9188515240
1085867650
1144519700
122490bb16
1314a3607b
14b592c38
157812400
hex51e3c82

85867650 has 216 divisors, whose sum is σ = 270138960. Its totient is φ = 19483200.

The previous prime is 85867643. The next prime is 85867651. The reversal of 85867650 is 5676858.

85867650 is a `hidden beast` number, since 8 + 586 + 7 + 65 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 85867596 and 85867605.

It is not an unprimeable number, because it can be changed into a prime (85867651) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1034509 + ... + 1034591.

Almost surely, 285867650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85867650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135069480).

85867650 is an abundant number, since it is smaller than the sum of its proper divisors (184271310).

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

85867650 is a wasteful number, since it uses less digits than its factorization.

85867650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 85867650 is about 9266.4799141853. The cubic root of 85867650 is about 441.1739483777.

The spelling of 85867650 in words is "eighty-five million, eight hundred sixty-seven thousand, six hundred fifty".