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5385852 = 22361847
BaseRepresentation
bin10100100010111001111100
3101010122000000
4110202321330
52334321402
6311234300
763531123
oct24427174
911118000
105385852
11304951a
121978990
1311675c4
14a02aba
15715c1c
hex522e7c

5385852 has 42 divisors (see below), whose sum is σ = 14139048. Its totient is φ = 1794312.

The previous prime is 5385839. The next prime is 5385859. The reversal of 5385852 is 2585835.

5385852 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 52 + 314 + 85 + 56 + 85 + 58 + 217 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5385859) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1993 + ... + 3839.

It is an arithmetic number, because the mean of its divisors is an integer number (336644).

Almost surely, 25385852 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 5385852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7069524).

5385852 is an abundant number, since it is smaller than the sum of its proper divisors (8753196).

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

5385852 is a wasteful number, since it uses less digits than its factorization.

5385852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869 (or 1852 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 5385852 is about 2320.7438462700. The cubic root of 5385852 is about 175.2877117573.

It can be divided in two parts, 53 and 85852, that added together give a triangular number (85905 = T414).

The spelling of 5385852 in words is "five million, three hundred eighty-five thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 1847 2916 3694 5541 7388 11082 16623 22164 33246 49869 66492 99738 149607 199476 299214 448821 598428 897642 1346463 1795284 2692926 5385852