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85928440 = 23513165247
BaseRepresentation
bin1010001111100…
…10100111111000
312222200121122211
411013302213320
5133444202230
612305424504
72062244143
oct507624770
9188617584
1085928440
1144560344
122493b134
1314a57940
14b5ab05a
15782542a
hex51f29f8

85928440 has 32 divisors (see below), whose sum is σ = 208212480. Its totient is φ = 31727232.

The previous prime is 85928429. The next prime is 85928459. The reversal of 85928440 is 4482958.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 85928393 and 85928402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82104 + ... + 83143.

It is an arithmetic number, because the mean of its divisors is an integer number (6506640).

Almost surely, 285928440 is an apocalyptic number.

It is an amenable number.

85928440 is an abundant number, since it is smaller than the sum of its proper divisors (122284040).

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

85928440 is a wasteful number, since it uses less digits than its factorization.

85928440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165271 (or 165267 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 85928440 is about 9269.7594359293. The cubic root of 85928440 is about 441.2780335133.

It can be divided in two parts, 85928 and 440, that added together give a palindrome (86368).

The spelling of 85928440 in words is "eighty-five million, nine hundred twenty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 165247 330494 660988 826235 1321976 1652470 2148211 3304940 4296422 6609880 8592844 10741055 17185688 21482110 42964220 85928440