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901285645 = 51389155797
BaseRepresentation
bin110101101110001…
…000011100001101
32022210221001110211
4311232020130031
53321212120040
6225233402421
731222541641
oct6556103415
92283831424
10901285645
11422830277
12211a09411
13114956920
14879b2c21
15541d28ea
hex35b8870d

901285645 has 16 divisors (see below), whose sum is σ = 1177832880. Its totient is φ = 658082304.

The previous prime is 901285639. The next prime is 901285663. The reversal of 901285645 is 546582109.

901285645 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 27846729 + 873438916 = 5277^2 + 29554^2 .

It is a cyclic number.

It is not a de Polignac number, because 901285645 - 211 = 901283597 is a prime.

It is a super-3 number, since 3×9012856453 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 901285598 and 901285607.

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, 72114 + ... + 83683.

It is an arithmetic number, because the mean of its divisors is an integer number (73614555).

Almost surely, 2901285645 is an apocalyptic number.

It is an amenable number.

901285645 is a deficient number, since it is larger than the sum of its proper divisors (276547235).

901285645 is a wasteful number, since it uses less digits than its factorization.

901285645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155904.

The product of its (nonzero) digits is 86400, while the sum is 40.

The square root of 901285645 is about 30021.4197698910. The cubic root of 901285645 is about 965.9488979450.

The spelling of 901285645 in words is "nine hundred one million, two hundred eighty-five thousand, six hundred forty-five".

Divisors: 1 5 13 65 89 445 1157 5785 155797 778985 2025361 10126805 13865933 69329665 180257129 901285645