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85026240 = 2633513757
BaseRepresentation
bin1010001000101…
…10010111000000
312220222210002000
411010112113000
5133231314430
612234224000
72051465625
oct504262700
9186883060
1085026240
1143aa4522
1224585000
13148000b0
14b41434c
1576e7e60
hex51165c0

85026240 has 224 divisors, whose sum is σ = 323453760. Its totient is φ = 20901888.

The previous prime is 85026217. The next prime is 85026241. The reversal of 85026240 is 4262058.

It is a super-2 number, since 2×850262402 = 14458922977075200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85026241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111942 + ... + 112698.

It is an arithmetic number, because the mean of its divisors is an integer number (1443990).

Almost surely, 285026240 is an apocalyptic number.

85026240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161726880).

85026240 is an abundant number, since it is smaller than the sum of its proper divisors (238427520).

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

85026240 is a wasteful number, since it uses less digits than its factorization.

85026240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 85026240 is about 9220.9674112861. The cubic root of 85026240 is about 439.7282068003.

Adding to 85026240 its reverse (4262058), we get a palindrome (89288298).

The spelling of 85026240 in words is "eighty-five million, twenty-six thousand, two hundred forty".